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Finding the Third Proportional to 641,220 and 1,000,647

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Solution

The third proportional to 641,220 and 1,000,647 is: 1,561,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,220 : 1,000,647 = 1,000,647 : x
  2. Step 2: Convert to fraction form
    641,220/1,000,647 = 1,000,647/x
  3. Step 3: Cross multiply
    641,220x = 1,000,647 × 1,000,647
  4. Step 4: Simplify right side
    641,220x = 1,001,294,418,609
  5. Step 5: Solve for x
    x = 1,001,294,418,609/641,220
  6. Step 6: Final answer
    x = 1,561,545.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.