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Finding the Third Proportional to 634,363.31 and 1,367,754.19

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Solution

The third proportional to 634,363.31 and 1,367,754.19 is: 2,949,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,363.31 : 1,367,754.19 = 1,367,754.19 : x
  2. Step 2: Convert to fraction form
    634,363.31/1,367,754.19 = 1,367,754.19/x
  3. Step 3: Cross multiply
    634,363.31x = 1,367,754.19 × 1,367,754.19
  4. Step 4: Simplify right side
    634,363.31x = 1,870,751,517,423.79
  5. Step 5: Solve for x
    x = 1,870,751,517,423.79/634,363.31
  6. Step 6: Final answer
    x = 2,949,022.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.