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Finding the Third Proportional to 1,049,229 and 2,247,306

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Solution

The third proportional to 1,049,229 and 2,247,306 is: 4,813,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,229 : 2,247,306 = 2,247,306 : x
  2. Step 2: Convert to fraction form
    1,049,229/2,247,306 = 2,247,306/x
  3. Step 3: Cross multiply
    1,049,229x = 2,247,306 × 2,247,306
  4. Step 4: Simplify right side
    1,049,229x = 5,050,384,257,636
  5. Step 5: Solve for x
    x = 5,050,384,257,636/1,049,229
  6. Step 6: Final answer
    x = 4,813,424.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.