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Finding the Third Proportional to 1,160,228 and 2,569,288

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Solution

The third proportional to 1,160,228 and 2,569,288 is: 5,689,606.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,228 : 2,569,288 = 2,569,288 : x
  2. Step 2: Convert to fraction form
    1,160,228/2,569,288 = 2,569,288/x
  3. Step 3: Cross multiply
    1,160,228x = 2,569,288 × 2,569,288
  4. Step 4: Simplify right side
    1,160,228x = 6,601,240,826,944
  5. Step 5: Solve for x
    x = 6,601,240,826,944/1,160,228
  6. Step 6: Final answer
    x = 5,689,606.55

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.