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Finding the Third Proportional to 415,864 and 875,180

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Solution

The third proportional to 415,864 and 875,180 is: 1,841,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,864 : 875,180 = 875,180 : x
  2. Step 2: Convert to fraction form
    415,864/875,180 = 875,180/x
  3. Step 3: Cross multiply
    415,864x = 875,180 × 875,180
  4. Step 4: Simplify right side
    415,864x = 765,940,032,400
  5. Step 5: Solve for x
    x = 765,940,032,400/415,864
  6. Step 6: Final answer
    x = 1,841,804.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.