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Finding the Third Proportional to 409,951.13 and 898,624.13

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Solution

The third proportional to 409,951.13 and 898,624.13 is: 1,969,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,951.13 : 898,624.13 = 898,624.13 : x
  2. Step 2: Convert to fraction form
    409,951.13/898,624.13 = 898,624.13/x
  3. Step 3: Cross multiply
    409,951.13x = 898,624.13 × 898,624.13
  4. Step 4: Simplify right side
    409,951.13x = 807,525,318,032.02
  5. Step 5: Solve for x
    x = 807,525,318,032.02/409,951.13
  6. Step 6: Final answer
    x = 1,969,808.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.