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Finding the Third Proportional to 688,401 and 1,491,186

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Solution

The third proportional to 688,401 and 1,491,186 is: 3,230,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,401 : 1,491,186 = 1,491,186 : x
  2. Step 2: Convert to fraction form
    688,401/1,491,186 = 1,491,186/x
  3. Step 3: Cross multiply
    688,401x = 1,491,186 × 1,491,186
  4. Step 4: Simplify right side
    688,401x = 2,223,635,686,596
  5. Step 5: Solve for x
    x = 2,223,635,686,596/688,401
  6. Step 6: Final answer
    x = 3,230,145.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.