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Finding the Third Proportional to 1,049,914 and 2,248,526

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Solution

The third proportional to 1,049,914 and 2,248,526 is: 4,815,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,914 : 2,248,526 = 2,248,526 : x
  2. Step 2: Convert to fraction form
    1,049,914/2,248,526 = 2,248,526/x
  3. Step 3: Cross multiply
    1,049,914x = 2,248,526 × 2,248,526
  4. Step 4: Simplify right side
    1,049,914x = 5,055,869,172,676
  5. Step 5: Solve for x
    x = 5,055,869,172,676/1,049,914
  6. Step 6: Final answer
    x = 4,815,507.91

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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.