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Finding the Third Proportional to 693,900 and 1,479,410

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Solution

The third proportional to 693,900 and 1,479,410 is: 3,154,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,900 : 1,479,410 = 1,479,410 : x
  2. Step 2: Convert to fraction form
    693,900/1,479,410 = 1,479,410/x
  3. Step 3: Cross multiply
    693,900x = 1,479,410 × 1,479,410
  4. Step 4: Simplify right side
    693,900x = 2,188,653,948,100
  5. Step 5: Solve for x
    x = 2,188,653,948,100/693,900
  6. Step 6: Final answer
    x = 3,154,134.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.