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Finding the Third Proportional to 415,377 and 893,934

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Solution

The third proportional to 415,377 and 893,934 is: 1,923,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,377 : 893,934 = 893,934 : x
  2. Step 2: Convert to fraction form
    415,377/893,934 = 893,934/x
  3. Step 3: Cross multiply
    415,377x = 893,934 × 893,934
  4. Step 4: Simplify right side
    415,377x = 799,117,996,356
  5. Step 5: Solve for x
    x = 799,117,996,356/415,377
  6. Step 6: Final answer
    x = 1,923,837.85

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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.