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Finding the Third Proportional to 452,018 and 683,864

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Solution

The third proportional to 452,018 and 683,864 is: 1,034,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,018 : 683,864 = 683,864 : x
  2. Step 2: Convert to fraction form
    452,018/683,864 = 683,864/x
  3. Step 3: Cross multiply
    452,018x = 683,864 × 683,864
  4. Step 4: Simplify right side
    452,018x = 467,669,970,496
  5. Step 5: Solve for x
    x = 467,669,970,496/452,018
  6. Step 6: Final answer
    x = 1,034,626.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.