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Finding the Third Proportional to 897,165 and 1,332,787

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Solution

The third proportional to 897,165 and 1,332,787 is: 1,979,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,165 : 1,332,787 = 1,332,787 : x
  2. Step 2: Convert to fraction form
    897,165/1,332,787 = 1,332,787/x
  3. Step 3: Cross multiply
    897,165x = 1,332,787 × 1,332,787
  4. Step 4: Simplify right side
    897,165x = 1,776,321,187,369
  5. Step 5: Solve for x
    x = 1,776,321,187,369/897,165
  6. Step 6: Final answer
    x = 1,979,926.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.