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Finding the Third Proportional to 1,267,466 and 2,818,302

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Solution

The third proportional to 1,267,466 and 2,818,302 is: 6,266,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,466 : 2,818,302 = 2,818,302 : x
  2. Step 2: Convert to fraction form
    1,267,466/2,818,302 = 2,818,302/x
  3. Step 3: Cross multiply
    1,267,466x = 2,818,302 × 2,818,302
  4. Step 4: Simplify right side
    1,267,466x = 7,942,826,163,204
  5. Step 5: Solve for x
    x = 7,942,826,163,204/1,267,466
  6. Step 6: Final answer
    x = 6,266,697.62

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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.