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Finding the Third Proportional to 2,665,328.25 and 3,898,031.25

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Solution

The third proportional to 2,665,328.25 and 3,898,031.25 is: 5,700,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,328.25 : 3,898,031.25 = 3,898,031.25 : x
  2. Step 2: Convert to fraction form
    2,665,328.25/3,898,031.25 = 3,898,031.25/x
  3. Step 3: Cross multiply
    2,665,328.25x = 3,898,031.25 × 3,898,031.25
  4. Step 4: Simplify right side
    2,665,328.25x = 15,194,647,625,976.56
  5. Step 5: Solve for x
    x = 15,194,647,625,976.56/2,665,328.25
  6. Step 6: Final answer
    x = 5,700,854.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.