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Finding the Third Proportional to 453,474 and 988,587

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Solution

The third proportional to 453,474 and 988,587 is: 2,155,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,474 : 988,587 = 988,587 : x
  2. Step 2: Convert to fraction form
    453,474/988,587 = 988,587/x
  3. Step 3: Cross multiply
    453,474x = 988,587 × 988,587
  4. Step 4: Simplify right side
    453,474x = 977,304,256,569
  5. Step 5: Solve for x
    x = 977,304,256,569/453,474
  6. Step 6: Final answer
    x = 2,155,149.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.