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Finding the Third Proportional to 447,638 and 961,534

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Solution

The third proportional to 447,638 and 961,534 is: 2,065,391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,638 : 961,534 = 961,534 : x
  2. Step 2: Convert to fraction form
    447,638/961,534 = 961,534/x
  3. Step 3: Cross multiply
    447,638x = 961,534 × 961,534
  4. Step 4: Simplify right side
    447,638x = 924,547,633,156
  5. Step 5: Solve for x
    x = 924,547,633,156/447,638
  6. Step 6: Final answer
    x = 2,065,391.31

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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.