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Finding the Third Proportional to 819,723,888 and 1,259,185,662

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Solution

The third proportional to 819,723,888 and 1,259,185,662 is: 1,934,247,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,723,888 : 1,259,185,662 = 1,259,185,662 : x
  2. Step 2: Convert to fraction form
    819,723,888/1,259,185,662 = 1,259,185,662/x
  3. Step 3: Cross multiply
    819,723,888x = 1,259,185,662 × 1,259,185,662
  4. Step 4: Simplify right side
    819,723,888x = 1,585,548,531,386,378,240
  5. Step 5: Solve for x
    x = 1,585,548,531,386,378,240/819,723,888
  6. Step 6: Final answer
    x = 1,934,247,073.43

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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.