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Finding the Third Proportional to 686,718 and 1,491,657

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Solution

The third proportional to 686,718 and 1,491,657 is: 3,240,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,718 : 1,491,657 = 1,491,657 : x
  2. Step 2: Convert to fraction form
    686,718/1,491,657 = 1,491,657/x
  3. Step 3: Cross multiply
    686,718x = 1,491,657 × 1,491,657
  4. Step 4: Simplify right side
    686,718x = 2,225,040,605,649
  5. Step 5: Solve for x
    x = 2,225,040,605,649/686,718
  6. Step 6: Final answer
    x = 3,240,108.17

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Why These Related Problems?

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