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Finding the Third Proportional to 406,291 and 875,017

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Solution

The third proportional to 406,291 and 875,017 is: 1,884,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,291 : 875,017 = 875,017 : x
  2. Step 2: Convert to fraction form
    406,291/875,017 = 875,017/x
  3. Step 3: Cross multiply
    406,291x = 875,017 × 875,017
  4. Step 4: Simplify right side
    406,291x = 765,654,750,289
  5. Step 5: Solve for x
    x = 765,654,750,289/406,291
  6. Step 6: Final answer
    x = 1,884,498.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.