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Finding the Third Proportional to 785,873 and 1,183,395

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Solution

The third proportional to 785,873 and 1,183,395 is: 1,781,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,873 : 1,183,395 = 1,183,395 : x
  2. Step 2: Convert to fraction form
    785,873/1,183,395 = 1,183,395/x
  3. Step 3: Cross multiply
    785,873x = 1,183,395 × 1,183,395
  4. Step 4: Simplify right side
    785,873x = 1,400,423,726,025
  5. Step 5: Solve for x
    x = 1,400,423,726,025/785,873
  6. Step 6: Final answer
    x = 1,781,997.51

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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.