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Finding the Third Proportional to 1,134,488 and 2,419,150

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Solution

The third proportional to 1,134,488 and 2,419,150 is: 5,158,526.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,488 : 2,419,150 = 2,419,150 : x
  2. Step 2: Convert to fraction form
    1,134,488/2,419,150 = 2,419,150/x
  3. Step 3: Cross multiply
    1,134,488x = 2,419,150 × 2,419,150
  4. Step 4: Simplify right side
    1,134,488x = 5,852,286,722,500
  5. Step 5: Solve for x
    x = 5,852,286,722,500/1,134,488
  6. Step 6: Final answer
    x = 5,158,526.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.