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Finding the Third Proportional to 819,723,889.50 and 1,259,185,664.25

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Solution

The third proportional to 819,723,889.50 and 1,259,185,664.25 is: 1,934,247,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,723,889.50 : 1,259,185,664.25 = 1,259,185,664.25 : x
  2. Step 2: Convert to fraction form
    819,723,889.50/1,259,185,664.25 = 1,259,185,664.25/x
  3. Step 3: Cross multiply
    819,723,889.50x = 1,259,185,664.25 × 1,259,185,664.25
  4. Step 4: Simplify right side
    819,723,889.50x = 1,585,548,537,052,713,728
  5. Step 5: Solve for x
    x = 1,585,548,537,052,713,728/819,723,889.50
  6. Step 6: Final answer
    x = 1,934,247,076.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.