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Finding the Third Proportional to 690,114 and 1,491,036

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Solution

The third proportional to 690,114 and 1,491,036 is: 3,221,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,114 : 1,491,036 = 1,491,036 : x
  2. Step 2: Convert to fraction form
    690,114/1,491,036 = 1,491,036/x
  3. Step 3: Cross multiply
    690,114x = 1,491,036 × 1,491,036
  4. Step 4: Simplify right side
    690,114x = 2,223,188,353,296
  5. Step 5: Solve for x
    x = 2,223,188,353,296/690,114
  6. Step 6: Final answer
    x = 3,221,479.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.