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Finding the Third Proportional to 897,016 and 1,494,972

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Solution

The third proportional to 897,016 and 1,494,972 is: 2,491,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,016 : 1,494,972 = 1,494,972 : x
  2. Step 2: Convert to fraction form
    897,016/1,494,972 = 1,494,972/x
  3. Step 3: Cross multiply
    897,016x = 1,494,972 × 1,494,972
  4. Step 4: Simplify right side
    897,016x = 2,234,941,280,784
  5. Step 5: Solve for x
    x = 2,234,941,280,784/897,016
  6. Step 6: Final answer
    x = 2,491,528.89

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.