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Finding the Third Proportional to 387,105 and 833,534

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Solution

The third proportional to 387,105 and 833,534 is: 1,794,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,105 : 833,534 = 833,534 : x
  2. Step 2: Convert to fraction form
    387,105/833,534 = 833,534/x
  3. Step 3: Cross multiply
    387,105x = 833,534 × 833,534
  4. Step 4: Simplify right side
    387,105x = 694,778,929,156
  5. Step 5: Solve for x
    x = 694,778,929,156/387,105
  6. Step 6: Final answer
    x = 1,794,807.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.