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Finding the Third Proportional to 686,532 and 1,435,800

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Solution

The third proportional to 686,532 and 1,435,800 is: 3,002,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,532 : 1,435,800 = 1,435,800 : x
  2. Step 2: Convert to fraction form
    686,532/1,435,800 = 1,435,800/x
  3. Step 3: Cross multiply
    686,532x = 1,435,800 × 1,435,800
  4. Step 4: Simplify right side
    686,532x = 2,061,521,640,000
  5. Step 5: Solve for x
    x = 2,061,521,640,000/686,532
  6. Step 6: Final answer
    x = 3,002,804.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.