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Finding the Third Proportional to 387,110 and 833,545

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Solution

The third proportional to 387,110 and 833,545 is: 1,794,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,110 : 833,545 = 833,545 : x
  2. Step 2: Convert to fraction form
    387,110/833,545 = 833,545/x
  3. Step 3: Cross multiply
    387,110x = 833,545 × 833,545
  4. Step 4: Simplify right side
    387,110x = 694,797,267,025
  5. Step 5: Solve for x
    x = 694,797,267,025/387,110
  6. Step 6: Final answer
    x = 1,794,831.62

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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.