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Finding the Third Proportional to 782,156.25 and 1,713,787.88

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Solution

The third proportional to 782,156.25 and 1,713,787.88 is: 3,755,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,156.25 : 1,713,787.88 = 1,713,787.88 : x
  2. Step 2: Convert to fraction form
    782,156.25/1,713,787.88 = 1,713,787.88/x
  3. Step 3: Cross multiply
    782,156.25x = 1,713,787.88 × 1,713,787.88
  4. Step 4: Simplify right side
    782,156.25x = 2,937,068,880,497.02
  5. Step 5: Solve for x
    x = 2,937,068,880,497.02/782,156.25
  6. Step 6: Final answer
    x = 3,755,092.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.