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Finding the Third Proportional to 825,577 and 1,813,522

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Solution

The third proportional to 825,577 and 1,813,522 is: 3,983,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,577 : 1,813,522 = 1,813,522 : x
  2. Step 2: Convert to fraction form
    825,577/1,813,522 = 1,813,522/x
  3. Step 3: Cross multiply
    825,577x = 1,813,522 × 1,813,522
  4. Step 4: Simplify right side
    825,577x = 3,288,862,044,484
  5. Step 5: Solve for x
    x = 3,288,862,044,484/825,577
  6. Step 6: Final answer
    x = 3,983,713.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.