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Finding the Third Proportional to 2,614,264.50 and 3,960,520.13

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Solution

The third proportional to 2,614,264.50 and 3,960,520.13 is: 6,000,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,264.50 : 3,960,520.13 = 3,960,520.13 : x
  2. Step 2: Convert to fraction form
    2,614,264.50/3,960,520.13 = 3,960,520.13/x
  3. Step 3: Cross multiply
    2,614,264.50x = 3,960,520.13 × 3,960,520.13
  4. Step 4: Simplify right side
    2,614,264.50x = 15,685,719,660,530.02
  5. Step 5: Solve for x
    x = 15,685,719,660,530.02/2,614,264.50
  6. Step 6: Final answer
    x = 6,000,050.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.