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Finding the Third Proportional to 636,213 and 1,346,049

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Solution

The third proportional to 636,213 and 1,346,049 is: 2,847,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,213 : 1,346,049 = 1,346,049 : x
  2. Step 2: Convert to fraction form
    636,213/1,346,049 = 1,346,049/x
  3. Step 3: Cross multiply
    636,213x = 1,346,049 × 1,346,049
  4. Step 4: Simplify right side
    636,213x = 1,811,847,910,401
  5. Step 5: Solve for x
    x = 1,811,847,910,401/636,213
  6. Step 6: Final answer
    x = 2,847,863.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.