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Finding the Third Proportional to 949,578 and 2,241,591

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Solution

The third proportional to 949,578 and 2,241,591 is: 5,291,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,578 : 2,241,591 = 2,241,591 : x
  2. Step 2: Convert to fraction form
    949,578/2,241,591 = 2,241,591/x
  3. Step 3: Cross multiply
    949,578x = 2,241,591 × 2,241,591
  4. Step 4: Simplify right side
    949,578x = 5,024,730,211,281
  5. Step 5: Solve for x
    x = 5,024,730,211,281/949,578
  6. Step 6: Final answer
    x = 5,291,540.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.