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Finding the Third Proportional to 457,400 and 1,003,131

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Solution

The third proportional to 457,400 and 1,003,131 is: 2,199,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,400 : 1,003,131 = 1,003,131 : x
  2. Step 2: Convert to fraction form
    457,400/1,003,131 = 1,003,131/x
  3. Step 3: Cross multiply
    457,400x = 1,003,131 × 1,003,131
  4. Step 4: Simplify right side
    457,400x = 1,006,271,803,161
  5. Step 5: Solve for x
    x = 1,006,271,803,161/457,400
  6. Step 6: Final answer
    x = 2,199,982.08

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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.