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Finding the Third Proportional to 688,377 and 1,491,141

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Solution

The third proportional to 688,377 and 1,491,141 is: 3,230,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,377 : 1,491,141 = 1,491,141 : x
  2. Step 2: Convert to fraction form
    688,377/1,491,141 = 1,491,141/x
  3. Step 3: Cross multiply
    688,377x = 1,491,141 × 1,491,141
  4. Step 4: Simplify right side
    688,377x = 2,223,501,481,881
  5. Step 5: Solve for x
    x = 2,223,501,481,881/688,377
  6. Step 6: Final answer
    x = 3,230,063.59

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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.