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Finding the Third Proportional to 666,162.75 and 961,519.13

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Solution

The third proportional to 666,162.75 and 961,519.13 is: 1,387,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,162.75 : 961,519.13 = 961,519.13 : x
  2. Step 2: Convert to fraction form
    666,162.75/961,519.13 = 961,519.13/x
  3. Step 3: Cross multiply
    666,162.75x = 961,519.13 × 961,519.13
  4. Step 4: Simplify right side
    666,162.75x = 924,519,027,740.77
  5. Step 5: Solve for x
    x = 924,519,027,740.77/666,162.75
  6. Step 6: Final answer
    x = 1,387,827.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.