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Finding the Third Proportional to 819,723,896 and 1,259,185,673

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Solution

The third proportional to 819,723,896 and 1,259,185,673 is: 1,934,247,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,723,896 : 1,259,185,673 = 1,259,185,673 : x
  2. Step 2: Convert to fraction form
    819,723,896/1,259,185,673 = 1,259,185,673/x
  3. Step 3: Cross multiply
    819,723,896x = 1,259,185,673 × 1,259,185,673
  4. Step 4: Simplify right side
    819,723,896x = 1,585,548,559,088,462,848
  5. Step 5: Solve for x
    x = 1,585,548,559,088,462,848/819,723,896
  6. Step 6: Final answer
    x = 1,934,247,088.35

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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.