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Finding the Third Proportional to 949,943 and 1,420,176

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Solution

The third proportional to 949,943 and 1,420,176 is: 2,123,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,943 : 1,420,176 = 1,420,176 : x
  2. Step 2: Convert to fraction form
    949,943/1,420,176 = 1,420,176/x
  3. Step 3: Cross multiply
    949,943x = 1,420,176 × 1,420,176
  4. Step 4: Simplify right side
    949,943x = 2,016,899,870,976
  5. Step 5: Solve for x
    x = 2,016,899,870,976/949,943
  6. Step 6: Final answer
    x = 2,123,179.89

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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.