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Finding the Third Proportional to 621,714 and 988,617

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Solution

The third proportional to 621,714 and 988,617 is: 1,572,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,714 : 988,617 = 988,617 : x
  2. Step 2: Convert to fraction form
    621,714/988,617 = 988,617/x
  3. Step 3: Cross multiply
    621,714x = 988,617 × 988,617
  4. Step 4: Simplify right side
    621,714x = 977,363,572,689
  5. Step 5: Solve for x
    x = 977,363,572,689/621,714
  6. Step 6: Final answer
    x = 1,572,046.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.