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Finding the Third Proportional to 475,770.38 and 1,025,809.88

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Solution

The third proportional to 475,770.38 and 1,025,809.88 is: 2,211,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,770.38 : 1,025,809.88 = 1,025,809.88 : x
  2. Step 2: Convert to fraction form
    475,770.38/1,025,809.88 = 1,025,809.88/x
  3. Step 3: Cross multiply
    475,770.38x = 1,025,809.88 × 1,025,809.88
  4. Step 4: Simplify right side
    475,770.38x = 1,052,285,899,647.52
  5. Step 5: Solve for x
    x = 1,052,285,899,647.52/475,770.38
  6. Step 6: Final answer
    x = 2,211,751.62

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