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Finding the Third Proportional to 1,125,848 and 2,297,542

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Solution

The third proportional to 1,125,848 and 2,297,542 is: 4,688,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,848 : 2,297,542 = 2,297,542 : x
  2. Step 2: Convert to fraction form
    1,125,848/2,297,542 = 2,297,542/x
  3. Step 3: Cross multiply
    1,125,848x = 2,297,542 × 2,297,542
  4. Step 4: Simplify right side
    1,125,848x = 5,278,699,241,764
  5. Step 5: Solve for x
    x = 5,278,699,241,764/1,125,848
  6. Step 6: Final answer
    x = 4,688,642.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.