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Finding the Third Proportional to 962,908 and 1,490,171

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Solution

The third proportional to 962,908 and 1,490,171 is: 2,306,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,908 : 1,490,171 = 1,490,171 : x
  2. Step 2: Convert to fraction form
    962,908/1,490,171 = 1,490,171/x
  3. Step 3: Cross multiply
    962,908x = 1,490,171 × 1,490,171
  4. Step 4: Simplify right side
    962,908x = 2,220,609,609,241
  5. Step 5: Solve for x
    x = 2,220,609,609,241/962,908
  6. Step 6: Final answer
    x = 2,306,149.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.