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Finding the Third Proportional to 1,025,711.86 and 2,232,032.20

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Solution

The third proportional to 1,025,711.86 and 2,232,032.20 is: 4,857,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,711.86 : 2,232,032.20 = 2,232,032.20 : x
  2. Step 2: Convert to fraction form
    1,025,711.86/2,232,032.20 = 2,232,032.20/x
  3. Step 3: Cross multiply
    1,025,711.86x = 2,232,032.20 × 2,232,032.20
  4. Step 4: Simplify right side
    1,025,711.86x = 4,981,967,755,787.04
  5. Step 5: Solve for x
    x = 4,981,967,755,787.04/1,025,711.86
  6. Step 6: Final answer
    x = 4,857,083.12

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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.