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Finding the Third Proportional to 457,900 and 1,003,280

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Solution

The third proportional to 457,900 and 1,003,280 is: 2,198,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,900 : 1,003,280 = 1,003,280 : x
  2. Step 2: Convert to fraction form
    457,900/1,003,280 = 1,003,280/x
  3. Step 3: Cross multiply
    457,900x = 1,003,280 × 1,003,280
  4. Step 4: Simplify right side
    457,900x = 1,006,570,758,400
  5. Step 5: Solve for x
    x = 1,006,570,758,400/457,900
  6. Step 6: Final answer
    x = 2,198,232.71

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Why These Related Problems?

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