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Finding the Third Proportional to 663,945 and 1,003,823

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Solution

The third proportional to 663,945 and 1,003,823 is: 1,517,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,945 : 1,003,823 = 1,003,823 : x
  2. Step 2: Convert to fraction form
    663,945/1,003,823 = 1,003,823/x
  3. Step 3: Cross multiply
    663,945x = 1,003,823 × 1,003,823
  4. Step 4: Simplify right side
    663,945x = 1,007,660,615,329
  5. Step 5: Solve for x
    x = 1,007,660,615,329/663,945
  6. Step 6: Final answer
    x = 1,517,686.88

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