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Finding the Third Proportional to 2,574,002.25 and 3,856,035.38

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Solution

The third proportional to 2,574,002.25 and 3,856,035.38 is: 5,776,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,002.25 : 3,856,035.38 = 3,856,035.38 : x
  2. Step 2: Convert to fraction form
    2,574,002.25/3,856,035.38 = 3,856,035.38/x
  3. Step 3: Cross multiply
    2,574,002.25x = 3,856,035.38 × 3,856,035.38
  4. Step 4: Simplify right side
    2,574,002.25x = 14,869,008,813,251.39
  5. Step 5: Solve for x
    x = 14,869,008,813,251.39/2,574,002.25
  6. Step 6: Final answer
    x = 5,776,610.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.