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Finding the Third Proportional to 690,269 and 1,476,493

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Solution

The third proportional to 690,269 and 1,476,493 is: 3,158,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,269 : 1,476,493 = 1,476,493 : x
  2. Step 2: Convert to fraction form
    690,269/1,476,493 = 1,476,493/x
  3. Step 3: Cross multiply
    690,269x = 1,476,493 × 1,476,493
  4. Step 4: Simplify right side
    690,269x = 2,180,031,579,049
  5. Step 5: Solve for x
    x = 2,180,031,579,049/690,269
  6. Step 6: Final answer
    x = 3,158,234.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.