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Finding the Third Proportional to 418,347 and 861,453

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Solution

The third proportional to 418,347 and 861,453 is: 1,773,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,347 : 861,453 = 861,453 : x
  2. Step 2: Convert to fraction form
    418,347/861,453 = 861,453/x
  3. Step 3: Cross multiply
    418,347x = 861,453 × 861,453
  4. Step 4: Simplify right side
    418,347x = 742,101,271,209
  5. Step 5: Solve for x
    x = 742,101,271,209/418,347
  6. Step 6: Final answer
    x = 1,773,889.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.