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Finding the Third Proportional to 719,687,536 and 1,105,720,357

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Solution

The third proportional to 719,687,536 and 1,105,720,357 is: 1,698,817,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,687,536 : 1,105,720,357 = 1,105,720,357 : x
  2. Step 2: Convert to fraction form
    719,687,536/1,105,720,357 = 1,105,720,357/x
  3. Step 3: Cross multiply
    719,687,536x = 1,105,720,357 × 1,105,720,357
  4. Step 4: Simplify right side
    719,687,536x = 1,222,617,507,884,207,360
  5. Step 5: Solve for x
    x = 1,222,617,507,884,207,360/719,687,536
  6. Step 6: Final answer
    x = 1,698,817,120.94

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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.