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Finding the Third Proportional to 961,350 and 2,225,463

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Solution

The third proportional to 961,350 and 2,225,463 is: 5,151,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,350 : 2,225,463 = 2,225,463 : x
  2. Step 2: Convert to fraction form
    961,350/2,225,463 = 2,225,463/x
  3. Step 3: Cross multiply
    961,350x = 2,225,463 × 2,225,463
  4. Step 4: Simplify right side
    961,350x = 4,952,685,564,369
  5. Step 5: Solve for x
    x = 4,952,685,564,369/961,350
  6. Step 6: Final answer
    x = 5,151,802.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.