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Finding the Third Proportional to 406,260 and 865,008

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Solution

The third proportional to 406,260 and 865,008 is: 1,841,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,260 : 865,008 = 865,008 : x
  2. Step 2: Convert to fraction form
    406,260/865,008 = 865,008/x
  3. Step 3: Cross multiply
    406,260x = 865,008 × 865,008
  4. Step 4: Simplify right side
    406,260x = 748,238,840,064
  5. Step 5: Solve for x
    x = 748,238,840,064/406,260
  6. Step 6: Final answer
    x = 1,841,773.35

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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.