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Finding the Third Proportional to 447,642 and 961,542

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Solution

The third proportional to 447,642 and 961,542 is: 2,065,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,642 : 961,542 = 961,542 : x
  2. Step 2: Convert to fraction form
    447,642/961,542 = 961,542/x
  3. Step 3: Cross multiply
    447,642x = 961,542 × 961,542
  4. Step 4: Simplify right side
    447,642x = 924,563,017,764
  5. Step 5: Solve for x
    x = 924,563,017,764/447,642
  6. Step 6: Final answer
    x = 2,065,407.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.