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Finding the Third Proportional to 664,530 and 1,003,707

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Solution

The third proportional to 664,530 and 1,003,707 is: 1,516,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,530 : 1,003,707 = 1,003,707 : x
  2. Step 2: Convert to fraction form
    664,530/1,003,707 = 1,003,707/x
  3. Step 3: Cross multiply
    664,530x = 1,003,707 × 1,003,707
  4. Step 4: Simplify right side
    664,530x = 1,007,427,741,849
  5. Step 5: Solve for x
    x = 1,007,427,741,849/664,530
  6. Step 6: Final answer
    x = 1,516,000.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.