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Finding the Third Proportional to 1,025,772.50 and 2,232,151

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Solution

The third proportional to 1,025,772.50 and 2,232,151 is: 4,857,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,772.50 : 2,232,151 = 2,232,151 : x
  2. Step 2: Convert to fraction form
    1,025,772.50/2,232,151 = 2,232,151/x
  3. Step 3: Cross multiply
    1,025,772.50x = 2,232,151 × 2,232,151
  4. Step 4: Simplify right side
    1,025,772.50x = 4,982,498,086,801
  5. Step 5: Solve for x
    x = 4,982,498,086,801/1,025,772.50
  6. Step 6: Final answer
    x = 4,857,312.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.