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Finding the Third Proportional to 2,614,265.25 and 3,960,521.25

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Solution

The third proportional to 2,614,265.25 and 3,960,521.25 is: 6,000,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614,265.25 : 3,960,521.25 = 3,960,521.25 : x
  2. Step 2: Convert to fraction form
    2,614,265.25/3,960,521.25 = 3,960,521.25/x
  3. Step 3: Cross multiply
    2,614,265.25x = 3,960,521.25 × 3,960,521.25
  4. Step 4: Simplify right side
    2,614,265.25x = 15,685,728,571,701.56
  5. Step 5: Solve for x
    x = 15,685,728,571,701.56/2,614,265.25
  6. Step 6: Final answer
    x = 6,000,052.43

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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.