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Finding the Third Proportional to 415,805 and 875,078

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Solution

The third proportional to 415,805 and 875,078 is: 1,841,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,805 : 875,078 = 875,078 : x
  2. Step 2: Convert to fraction form
    415,805/875,078 = 875,078/x
  3. Step 3: Cross multiply
    415,805x = 875,078 × 875,078
  4. Step 4: Simplify right side
    415,805x = 765,761,506,084
  5. Step 5: Solve for x
    x = 765,761,506,084/415,805
  6. Step 6: Final answer
    x = 1,841,636.12

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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.