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Finding the Third Proportional to 719,687,511 and 1,105,720,320

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Solution

The third proportional to 719,687,511 and 1,105,720,320 is: 1,698,817,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,687,511 : 1,105,720,320 = 1,105,720,320 : x
  2. Step 2: Convert to fraction form
    719,687,511/1,105,720,320 = 1,105,720,320/x
  3. Step 3: Cross multiply
    719,687,511x = 1,105,720,320 × 1,105,720,320
  4. Step 4: Simplify right side
    719,687,511x = 1,222,617,426,060,902,400
  5. Step 5: Solve for x
    x = 1,222,617,426,060,902,400/719,687,511
  6. Step 6: Final answer
    x = 1,698,817,066.26

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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.