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Finding the Third Proportional to 820,251.75 and 1,771,359

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Solution

The third proportional to 820,251.75 and 1,771,359 is: 3,825,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,251.75 : 1,771,359 = 1,771,359 : x
  2. Step 2: Convert to fraction form
    820,251.75/1,771,359 = 1,771,359/x
  3. Step 3: Cross multiply
    820,251.75x = 1,771,359 × 1,771,359
  4. Step 4: Simplify right side
    820,251.75x = 3,137,712,706,881
  5. Step 5: Solve for x
    x = 3,137,712,706,881/820,251.75
  6. Step 6: Final answer
    x = 3,825,304.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.