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Finding the Third Proportional to 2,532,870 and 5,169,096

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Solution

The third proportional to 2,532,870 and 5,169,096 is: 10,549,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532,870 : 5,169,096 = 5,169,096 : x
  2. Step 2: Convert to fraction form
    2,532,870/5,169,096 = 5,169,096/x
  3. Step 3: Cross multiply
    2,532,870x = 5,169,096 × 5,169,096
  4. Step 4: Simplify right side
    2,532,870x = 26,719,553,457,216
  5. Step 5: Solve for x
    x = 26,719,553,457,216/2,532,870
  6. Step 6: Final answer
    x = 10,549,121.53

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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.