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Finding the Third Proportional to 949,327 and 1,933,904

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Solution

The third proportional to 949,327 and 1,933,904 is: 3,939,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,327 : 1,933,904 = 1,933,904 : x
  2. Step 2: Convert to fraction form
    949,327/1,933,904 = 1,933,904/x
  3. Step 3: Cross multiply
    949,327x = 1,933,904 × 1,933,904
  4. Step 4: Simplify right side
    949,327x = 3,739,984,681,216
  5. Step 5: Solve for x
    x = 3,739,984,681,216/949,327
  6. Step 6: Final answer
    x = 3,939,616.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.