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Finding the Third Proportional to 811,734 and 1,753,464

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Solution

The third proportional to 811,734 and 1,753,464 is: 3,787,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,734 : 1,753,464 = 1,753,464 : x
  2. Step 2: Convert to fraction form
    811,734/1,753,464 = 1,753,464/x
  3. Step 3: Cross multiply
    811,734x = 1,753,464 × 1,753,464
  4. Step 4: Simplify right side
    811,734x = 3,074,635,999,296
  5. Step 5: Solve for x
    x = 3,074,635,999,296/811,734
  6. Step 6: Final answer
    x = 3,787,738.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.