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Finding the Third Proportional to 1,109,150 and 2,270,844

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Solution

The third proportional to 1,109,150 and 2,270,844 is: 4,649,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,150 : 2,270,844 = 2,270,844 : x
  2. Step 2: Convert to fraction form
    1,109,150/2,270,844 = 2,270,844/x
  3. Step 3: Cross multiply
    1,109,150x = 2,270,844 × 2,270,844
  4. Step 4: Simplify right side
    1,109,150x = 5,156,732,472,336
  5. Step 5: Solve for x
    x = 5,156,732,472,336/1,109,150
  6. Step 6: Final answer
    x = 4,649,265.18

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.