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Finding the Third Proportional to 1,073,115 and 2,274,129

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Solution

The third proportional to 1,073,115 and 2,274,129 is: 4,819,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,115 : 2,274,129 = 2,274,129 : x
  2. Step 2: Convert to fraction form
    1,073,115/2,274,129 = 2,274,129/x
  3. Step 3: Cross multiply
    1,073,115x = 2,274,129 × 2,274,129
  4. Step 4: Simplify right side
    1,073,115x = 5,171,662,708,641
  5. Step 5: Solve for x
    x = 5,171,662,708,641/1,073,115
  6. Step 6: Final answer
    x = 4,819,299.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.