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Finding the Third Proportional to 836,864 and 1,842,640

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Solution

The third proportional to 836,864 and 1,842,640 is: 4,057,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,864 : 1,842,640 = 1,842,640 : x
  2. Step 2: Convert to fraction form
    836,864/1,842,640 = 1,842,640/x
  3. Step 3: Cross multiply
    836,864x = 1,842,640 × 1,842,640
  4. Step 4: Simplify right side
    836,864x = 3,395,322,169,600
  5. Step 5: Solve for x
    x = 3,395,322,169,600/836,864
  6. Step 6: Final answer
    x = 4,057,197.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.