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Finding the Third Proportional to 1,267,416 and 2,818,197

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Solution

The third proportional to 1,267,416 and 2,818,197 is: 6,266,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,416 : 2,818,197 = 2,818,197 : x
  2. Step 2: Convert to fraction form
    1,267,416/2,818,197 = 2,818,197/x
  3. Step 3: Cross multiply
    1,267,416x = 2,818,197 × 2,818,197
  4. Step 4: Simplify right side
    1,267,416x = 7,942,234,330,809
  5. Step 5: Solve for x
    x = 7,942,234,330,809/1,267,416
  6. Step 6: Final answer
    x = 6,266,477.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.