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Finding the Third Proportional to 961,165 and 2,046,566

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Solution

The third proportional to 961,165 and 2,046,566 is: 4,357,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,165 : 2,046,566 = 2,046,566 : x
  2. Step 2: Convert to fraction form
    961,165/2,046,566 = 2,046,566/x
  3. Step 3: Cross multiply
    961,165x = 2,046,566 × 2,046,566
  4. Step 4: Simplify right side
    961,165x = 4,188,432,392,356
  5. Step 5: Solve for x
    x = 4,188,432,392,356/961,165
  6. Step 6: Final answer
    x = 4,357,662.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.