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Finding the Third Proportional to 621,714 and 988,619

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Solution

The third proportional to 621,714 and 988,619 is: 1,572,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,714 : 988,619 = 988,619 : x
  2. Step 2: Convert to fraction form
    621,714/988,619 = 988,619/x
  3. Step 3: Cross multiply
    621,714x = 988,619 × 988,619
  4. Step 4: Simplify right side
    621,714x = 977,367,527,161
  5. Step 5: Solve for x
    x = 977,367,527,161/621,714
  6. Step 6: Final answer
    x = 1,572,053.27

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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.