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Finding the Third Proportional to 457,393.50 and 1,003,116

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Solution

The third proportional to 457,393.50 and 1,003,116 is: 2,199,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,393.50 : 1,003,116 = 1,003,116 : x
  2. Step 2: Convert to fraction form
    457,393.50/1,003,116 = 1,003,116/x
  3. Step 3: Cross multiply
    457,393.50x = 1,003,116 × 1,003,116
  4. Step 4: Simplify right side
    457,393.50x = 1,006,241,709,456
  5. Step 5: Solve for x
    x = 1,006,241,709,456/457,393.50
  6. Step 6: Final answer
    x = 2,199,947.55

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