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Finding the Third Proportional to 785,858 and 1,183,379

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Solution

The third proportional to 785,858 and 1,183,379 is: 1,781,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,858 : 1,183,379 = 1,183,379 : x
  2. Step 2: Convert to fraction form
    785,858/1,183,379 = 1,183,379/x
  3. Step 3: Cross multiply
    785,858x = 1,183,379 × 1,183,379
  4. Step 4: Simplify right side
    785,858x = 1,400,385,857,641
  5. Step 5: Solve for x
    x = 1,400,385,857,641/785,858
  6. Step 6: Final answer
    x = 1,781,983.33

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Why These Related Problems?

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