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Finding the Third Proportional to 674,676 and 1,053,486

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Solution

The third proportional to 674,676 and 1,053,486 is: 1,644,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,676 : 1,053,486 = 1,053,486 : x
  2. Step 2: Convert to fraction form
    674,676/1,053,486 = 1,053,486/x
  3. Step 3: Cross multiply
    674,676x = 1,053,486 × 1,053,486
  4. Step 4: Simplify right side
    674,676x = 1,109,832,752,196
  5. Step 5: Solve for x
    x = 1,109,832,752,196/674,676
  6. Step 6: Final answer
    x = 1,644,986.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.