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Finding the Third Proportional to 587,814 and 1,200,522

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Solution

The third proportional to 587,814 and 1,200,522 is: 2,451,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,814 : 1,200,522 = 1,200,522 : x
  2. Step 2: Convert to fraction form
    587,814/1,200,522 = 1,200,522/x
  3. Step 3: Cross multiply
    587,814x = 1,200,522 × 1,200,522
  4. Step 4: Simplify right side
    587,814x = 1,441,253,072,484
  5. Step 5: Solve for x
    x = 1,441,253,072,484/587,814
  6. Step 6: Final answer
    x = 2,451,886.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.