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Finding the Third Proportional to 415,665 and 896,940

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Solution

The third proportional to 415,665 and 896,940 is: 1,935,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,665 : 896,940 = 896,940 : x
  2. Step 2: Convert to fraction form
    415,665/896,940 = 896,940/x
  3. Step 3: Cross multiply
    415,665x = 896,940 × 896,940
  4. Step 4: Simplify right side
    415,665x = 804,501,363,600
  5. Step 5: Solve for x
    x = 804,501,363,600/415,665
  6. Step 6: Final answer
    x = 1,935,456.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.