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Finding the Third Proportional to 393,904 and 866,536

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Solution

The third proportional to 393,904 and 866,536 is: 1,906,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,904 : 866,536 = 866,536 : x
  2. Step 2: Convert to fraction form
    393,904/866,536 = 866,536/x
  3. Step 3: Cross multiply
    393,904x = 866,536 × 866,536
  4. Step 4: Simplify right side
    393,904x = 750,884,639,296
  5. Step 5: Solve for x
    x = 750,884,639,296/393,904
  6. Step 6: Final answer
    x = 1,906,263.05

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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.