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Finding the Third Proportional to 663,110 and 1,019,835

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Solution

The third proportional to 663,110 and 1,019,835 is: 1,568,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,110 : 1,019,835 = 1,019,835 : x
  2. Step 2: Convert to fraction form
    663,110/1,019,835 = 1,019,835/x
  3. Step 3: Cross multiply
    663,110x = 1,019,835 × 1,019,835
  4. Step 4: Simplify right side
    663,110x = 1,040,063,427,225
  5. Step 5: Solve for x
    x = 1,040,063,427,225/663,110
  6. Step 6: Final answer
    x = 1,568,462.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.