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Finding the Third Proportional to 962,307 and 1,489,874

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Solution

The third proportional to 962,307 and 1,489,874 is: 2,306,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,307 : 1,489,874 = 1,489,874 : x
  2. Step 2: Convert to fraction form
    962,307/1,489,874 = 1,489,874/x
  3. Step 3: Cross multiply
    962,307x = 1,489,874 × 1,489,874
  4. Step 4: Simplify right side
    962,307x = 2,219,724,535,876
  5. Step 5: Solve for x
    x = 2,219,724,535,876/962,307
  6. Step 6: Final answer
    x = 2,306,669.84

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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.