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Finding the Third Proportional to 418,770 and 916,758

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Solution

The third proportional to 418,770 and 916,758 is: 2,006,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,770 : 916,758 = 916,758 : x
  2. Step 2: Convert to fraction form
    418,770/916,758 = 916,758/x
  3. Step 3: Cross multiply
    418,770x = 916,758 × 916,758
  4. Step 4: Simplify right side
    418,770x = 840,445,230,564
  5. Step 5: Solve for x
    x = 840,445,230,564/418,770
  6. Step 6: Final answer
    x = 2,006,937.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.