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Finding the Third Proportional to 417,076 and 893,192

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Solution

The third proportional to 417,076 and 893,192 is: 1,912,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,076 : 893,192 = 893,192 : x
  2. Step 2: Convert to fraction form
    417,076/893,192 = 893,192/x
  3. Step 3: Cross multiply
    417,076x = 893,192 × 893,192
  4. Step 4: Simplify right side
    417,076x = 797,791,948,864
  5. Step 5: Solve for x
    x = 797,791,948,864/417,076
  6. Step 6: Final answer
    x = 1,912,821.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.