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Finding the Third Proportional to 1,807,277.25 and 2,409,432.75

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Solution

The third proportional to 1,807,277.25 and 2,409,432.75 is: 3,212,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,277.25 : 2,409,432.75 = 2,409,432.75 : x
  2. Step 2: Convert to fraction form
    1,807,277.25/2,409,432.75 = 2,409,432.75/x
  3. Step 3: Cross multiply
    1,807,277.25x = 2,409,432.75 × 2,409,432.75
  4. Step 4: Simplify right side
    1,807,277.25x = 5,805,366,176,772.56
  5. Step 5: Solve for x
    x = 5,805,366,176,772.56/1,807,277.25
  6. Step 6: Final answer
    x = 3,212,216.71

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.