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Finding the Third Proportional to 949,941 and 1,420,173

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Solution

The third proportional to 949,941 and 1,420,173 is: 2,123,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,941 : 1,420,173 = 1,420,173 : x
  2. Step 2: Convert to fraction form
    949,941/1,420,173 = 1,420,173/x
  3. Step 3: Cross multiply
    949,941x = 1,420,173 × 1,420,173
  4. Step 4: Simplify right side
    949,941x = 2,016,891,349,929
  5. Step 5: Solve for x
    x = 2,016,891,349,929/949,941
  6. Step 6: Final answer
    x = 2,123,175.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.