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Finding the Third Proportional to 591,714 and 961,344

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Solution

The third proportional to 591,714 and 961,344 is: 1,561,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,714 : 961,344 = 961,344 : x
  2. Step 2: Convert to fraction form
    591,714/961,344 = 961,344/x
  3. Step 3: Cross multiply
    591,714x = 961,344 × 961,344
  4. Step 4: Simplify right side
    591,714x = 924,182,286,336
  5. Step 5: Solve for x
    x = 924,182,286,336/591,714
  6. Step 6: Final answer
    x = 1,561,873.28

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.