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Finding the Third Proportional to 469,409 and 1,013,641.75

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Solution

The third proportional to 469,409 and 1,013,641.75 is: 2,188,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,409 : 1,013,641.75 = 1,013,641.75 : x
  2. Step 2: Convert to fraction form
    469,409/1,013,641.75 = 1,013,641.75/x
  3. Step 3: Cross multiply
    469,409x = 1,013,641.75 × 1,013,641.75
  4. Step 4: Simplify right side
    469,409x = 1,027,469,597,343.06
  5. Step 5: Solve for x
    x = 1,027,469,597,343.06/469,409
  6. Step 6: Final answer
    x = 2,188,857.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.