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Finding the Third Proportional to 519,904 and 1,080,656

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Solution

The third proportional to 519,904 and 1,080,656 is: 2,246,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,904 : 1,080,656 = 1,080,656 : x
  2. Step 2: Convert to fraction form
    519,904/1,080,656 = 1,080,656/x
  3. Step 3: Cross multiply
    519,904x = 1,080,656 × 1,080,656
  4. Step 4: Simplify right side
    519,904x = 1,167,817,390,336
  5. Step 5: Solve for x
    x = 1,167,817,390,336/519,904
  6. Step 6: Final answer
    x = 2,246,217.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.