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Finding the Third Proportional to 415,866 and 875,184

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Solution

The third proportional to 415,866 and 875,184 is: 1,841,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,866 : 875,184 = 875,184 : x
  2. Step 2: Convert to fraction form
    415,866/875,184 = 875,184/x
  3. Step 3: Cross multiply
    415,866x = 875,184 × 875,184
  4. Step 4: Simplify right side
    415,866x = 765,947,033,856
  5. Step 5: Solve for x
    x = 765,947,033,856/415,866
  6. Step 6: Final answer
    x = 1,841,812.11

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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.