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Finding the Third Proportional to 1,084,589,288 and 1,527,340,714

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Solution

The third proportional to 1,084,589,288 and 1,527,340,714 is: 2,150,832,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,589,288 : 1,527,340,714 = 1,527,340,714 : x
  2. Step 2: Convert to fraction form
    1,084,589,288/1,527,340,714 = 1,527,340,714/x
  3. Step 3: Cross multiply
    1,084,589,288x = 1,527,340,714 × 1,527,340,714
  4. Step 4: Simplify right side
    1,084,589,288x = 2,332,769,656,642,029,568
  5. Step 5: Solve for x
    x = 2,332,769,656,642,029,568/1,084,589,288
  6. Step 6: Final answer
    x = 2,150,832,285.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.