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Finding the Third Proportional to 414,290 and 897,700

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Solution

The third proportional to 414,290 and 897,700 is: 1,945,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,290 : 897,700 = 897,700 : x
  2. Step 2: Convert to fraction form
    414,290/897,700 = 897,700/x
  3. Step 3: Cross multiply
    414,290x = 897,700 × 897,700
  4. Step 4: Simplify right side
    414,290x = 805,865,290,000
  5. Step 5: Solve for x
    x = 805,865,290,000/414,290
  6. Step 6: Final answer
    x = 1,945,171.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.