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Finding the Third Proportional to 422,166.94 and 861,526.13

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Solution

The third proportional to 422,166.94 and 861,526.13 is: 1,758,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,166.94 : 861,526.13 = 861,526.13 : x
  2. Step 2: Convert to fraction form
    422,166.94/861,526.13 = 861,526.13/x
  3. Step 3: Cross multiply
    422,166.94x = 861,526.13 × 861,526.13
  4. Step 4: Simplify right side
    422,166.94x = 742,227,264,057.52
  5. Step 5: Solve for x
    x = 742,227,264,057.52/422,166.94
  6. Step 6: Final answer
    x = 1,758,136.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.