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Finding the Third Proportional to 1,000,864 and 1,474,832

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Solution

The third proportional to 1,000,864 and 1,474,832 is: 2,173,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,864 : 1,474,832 = 1,474,832 : x
  2. Step 2: Convert to fraction form
    1,000,864/1,474,832 = 1,474,832/x
  3. Step 3: Cross multiply
    1,000,864x = 1,474,832 × 1,474,832
  4. Step 4: Simplify right side
    1,000,864x = 2,175,129,428,224
  5. Step 5: Solve for x
    x = 2,175,129,428,224/1,000,864
  6. Step 6: Final answer
    x = 2,173,251.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.