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Finding the Third Proportional to 531,678.38 and 1,166,691.66

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Solution

The third proportional to 531,678.38 and 1,166,691.66 is: 2,560,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,678.38 : 1,166,691.66 = 1,166,691.66 : x
  2. Step 2: Convert to fraction form
    531,678.38/1,166,691.66 = 1,166,691.66/x
  3. Step 3: Cross multiply
    531,678.38x = 1,166,691.66 × 1,166,691.66
  4. Step 4: Simplify right side
    531,678.38x = 1,361,169,420,763.37
  5. Step 5: Solve for x
    x = 1,361,169,420,763.37/531,678.38
  6. Step 6: Final answer
    x = 2,560,136.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.