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Finding the Third Proportional to 480,744.18 and 1,025,835.42

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Solution

The third proportional to 480,744.18 and 1,025,835.42 is: 2,188,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,744.18 : 1,025,835.42 = 1,025,835.42 : x
  2. Step 2: Convert to fraction form
    480,744.18/1,025,835.42 = 1,025,835.42/x
  3. Step 3: Cross multiply
    480,744.18x = 1,025,835.42 × 1,025,835.42
  4. Step 4: Simplify right side
    480,744.18x = 1,052,338,300,751.90
  5. Step 5: Solve for x
    x = 1,052,338,300,751.90/480,744.18
  6. Step 6: Final answer
    x = 2,188,977.74

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.