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Finding the Third Proportional to 614,324 and 961,591

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Solution

The third proportional to 614,324 and 961,591 is: 1,505,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,324 : 961,591 = 961,591 : x
  2. Step 2: Convert to fraction form
    614,324/961,591 = 961,591/x
  3. Step 3: Cross multiply
    614,324x = 961,591 × 961,591
  4. Step 4: Simplify right side
    614,324x = 924,657,251,281
  5. Step 5: Solve for x
    x = 924,657,251,281/614,324
  6. Step 6: Final answer
    x = 1,505,162.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.