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Finding the Third Proportional to 786,478 and 1,183,606

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Solution

The third proportional to 786,478 and 1,183,606 is: 1,781,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,478 : 1,183,606 = 1,183,606 : x
  2. Step 2: Convert to fraction form
    786,478/1,183,606 = 1,183,606/x
  3. Step 3: Cross multiply
    786,478x = 1,183,606 × 1,183,606
  4. Step 4: Simplify right side
    786,478x = 1,400,923,163,236
  5. Step 5: Solve for x
    x = 1,400,923,163,236/786,478
  6. Step 6: Final answer
    x = 1,781,261.73

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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.