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Finding the Third Proportional to 719,687,502 and 1,105,720,305.75

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Solution

The third proportional to 719,687,502 and 1,105,720,305.75 is: 1,698,817,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,687,502 : 1,105,720,305.75 = 1,105,720,305.75 : x
  2. Step 2: Convert to fraction form
    719,687,502/1,105,720,305.75 = 1,105,720,305.75/x
  3. Step 3: Cross multiply
    719,687,502x = 1,105,720,305.75 × 1,105,720,305.75
  4. Step 4: Simplify right side
    719,687,502x = 1,222,617,394,547,873,536
  5. Step 5: Solve for x
    x = 1,222,617,394,547,873,536/719,687,502
  6. Step 6: Final answer
    x = 1,698,817,043.72

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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.