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Finding the Third Proportional to 621,904,896 and 1,360,963,584

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Solution

The third proportional to 621,904,896 and 1,360,963,584 is: 2,978,304,060.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,904,896 : 1,360,963,584 = 1,360,963,584 : x
  2. Step 2: Convert to fraction form
    621,904,896/1,360,963,584 = 1,360,963,584/x
  3. Step 3: Cross multiply
    621,904,896x = 1,360,963,584 × 1,360,963,584
  4. Step 4: Simplify right side
    621,904,896x = 1,852,221,876,974,125,056
  5. Step 5: Solve for x
    x = 1,852,221,876,974,125,056/621,904,896
  6. Step 6: Final answer
    x = 2,978,304,060.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.