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Finding the Third Proportional to 453,442 and 986,372

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Solution

The third proportional to 453,442 and 986,372 is: 2,145,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,442 : 986,372 = 986,372 : x
  2. Step 2: Convert to fraction form
    453,442/986,372 = 986,372/x
  3. Step 3: Cross multiply
    453,442x = 986,372 × 986,372
  4. Step 4: Simplify right side
    453,442x = 972,929,722,384
  5. Step 5: Solve for x
    x = 972,929,722,384/453,442
  6. Step 6: Final answer
    x = 2,145,654.18

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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.