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Finding the Third Proportional to 484,142 and 1,025,874

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Solution

The third proportional to 484,142 and 1,025,874 is: 2,173,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,142 : 1,025,874 = 1,025,874 : x
  2. Step 2: Convert to fraction form
    484,142/1,025,874 = 1,025,874/x
  3. Step 3: Cross multiply
    484,142x = 1,025,874 × 1,025,874
  4. Step 4: Simplify right side
    484,142x = 1,052,417,463,876
  5. Step 5: Solve for x
    x = 1,052,417,463,876/484,142
  6. Step 6: Final answer
    x = 2,173,778.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.