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Finding the Third Proportional to 785,860 and 1,183,382

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Solution

The third proportional to 785,860 and 1,183,382 is: 1,781,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,860 : 1,183,382 = 1,183,382 : x
  2. Step 2: Convert to fraction form
    785,860/1,183,382 = 1,183,382/x
  3. Step 3: Cross multiply
    785,860x = 1,183,382 × 1,183,382
  4. Step 4: Simplify right side
    785,860x = 1,400,392,957,924
  5. Step 5: Solve for x
    x = 1,400,392,957,924/785,860
  6. Step 6: Final answer
    x = 1,781,987.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.