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Finding the Third Proportional to 532,671 and 1,144,397.75

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Solution

The third proportional to 532,671 and 1,144,397.75 is: 2,458,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,671 : 1,144,397.75 = 1,144,397.75 : x
  2. Step 2: Convert to fraction form
    532,671/1,144,397.75 = 1,144,397.75/x
  3. Step 3: Cross multiply
    532,671x = 1,144,397.75 × 1,144,397.75
  4. Step 4: Simplify right side
    532,671x = 1,309,646,210,205.06
  5. Step 5: Solve for x
    x = 1,309,646,210,205.06/532,671
  6. Step 6: Final answer
    x = 2,458,639.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.