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Finding the Third Proportional to 686,838 and 1,491,844

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Solution

The third proportional to 686,838 and 1,491,844 is: 3,240,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,838 : 1,491,844 = 1,491,844 : x
  2. Step 2: Convert to fraction form
    686,838/1,491,844 = 1,491,844/x
  3. Step 3: Cross multiply
    686,838x = 1,491,844 × 1,491,844
  4. Step 4: Simplify right side
    686,838x = 2,225,598,520,336
  5. Step 5: Solve for x
    x = 2,225,598,520,336/686,838
  6. Step 6: Final answer
    x = 3,240,354.38

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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.