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Finding the Third Proportional to 406,259 and 865,006

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Solution

The third proportional to 406,259 and 865,006 is: 1,841,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,259 : 865,006 = 865,006 : x
  2. Step 2: Convert to fraction form
    406,259/865,006 = 865,006/x
  3. Step 3: Cross multiply
    406,259x = 865,006 × 865,006
  4. Step 4: Simplify right side
    406,259x = 748,235,380,036
  5. Step 5: Solve for x
    x = 748,235,380,036/406,259
  6. Step 6: Final answer
    x = 1,841,769.36

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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.