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Finding the Third Proportional to 962,903 and 1,490,214

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Solution

The third proportional to 962,903 and 1,490,214 is: 2,306,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,903 : 1,490,214 = 1,490,214 : x
  2. Step 2: Convert to fraction form
    962,903/1,490,214 = 1,490,214/x
  3. Step 3: Cross multiply
    962,903x = 1,490,214 × 1,490,214
  4. Step 4: Simplify right side
    962,903x = 2,220,737,765,796
  5. Step 5: Solve for x
    x = 2,220,737,765,796/962,903
  6. Step 6: Final answer
    x = 2,306,294.37

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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.