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Finding the Third Proportional to 393,937 and 864,464

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Solution

The third proportional to 393,937 and 864,464 is: 1,896,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,937 : 864,464 = 864,464 : x
  2. Step 2: Convert to fraction form
    393,937/864,464 = 864,464/x
  3. Step 3: Cross multiply
    393,937x = 864,464 × 864,464
  4. Step 4: Simplify right side
    393,937x = 747,298,007,296
  5. Step 5: Solve for x
    x = 747,298,007,296/393,937
  6. Step 6: Final answer
    x = 1,896,998.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.