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Finding the Third Proportional to 406,326.38 and 865,110.38

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Solution

The third proportional to 406,326.38 and 865,110.38 is: 1,841,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,326.38 : 865,110.38 = 865,110.38 : x
  2. Step 2: Convert to fraction form
    406,326.38/865,110.38 = 865,110.38/x
  3. Step 3: Cross multiply
    406,326.38x = 865,110.38 × 865,110.38
  4. Step 4: Simplify right side
    406,326.38x = 748,415,960,932.64
  5. Step 5: Solve for x
    x = 748,415,960,932.64/406,326.38
  6. Step 6: Final answer
    x = 1,841,908.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.