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Finding the Third Proportional to 641,570 and 1,377,910

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Solution

The third proportional to 641,570 and 1,377,910 is: 2,959,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,570 : 1,377,910 = 1,377,910 : x
  2. Step 2: Convert to fraction form
    641,570/1,377,910 = 1,377,910/x
  3. Step 3: Cross multiply
    641,570x = 1,377,910 × 1,377,910
  4. Step 4: Simplify right side
    641,570x = 1,898,635,968,100
  5. Step 5: Solve for x
    x = 1,898,635,968,100/641,570
  6. Step 6: Final answer
    x = 2,959,359.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.