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Finding the Third Proportional to 661,186.13 and 913,609.13

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Solution

The third proportional to 661,186.13 and 913,609.13 is: 1,262,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,186.13 : 913,609.13 = 913,609.13 : x
  2. Step 2: Convert to fraction form
    661,186.13/913,609.13 = 913,609.13/x
  3. Step 3: Cross multiply
    661,186.13x = 913,609.13 × 913,609.13
  4. Step 4: Simplify right side
    661,186.13x = 834,681,633,283.27
  5. Step 5: Solve for x
    x = 834,681,633,283.27/661,186.13
  6. Step 6: Final answer
    x = 1,262,400.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.