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Finding the Third Proportional to 1,073,194 and 1,452,327

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Solution

The third proportional to 1,073,194 and 1,452,327 is: 1,965,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,194 : 1,452,327 = 1,452,327 : x
  2. Step 2: Convert to fraction form
    1,073,194/1,452,327 = 1,452,327/x
  3. Step 3: Cross multiply
    1,073,194x = 1,452,327 × 1,452,327
  4. Step 4: Simplify right side
    1,073,194x = 2,109,253,714,929
  5. Step 5: Solve for x
    x = 2,109,253,714,929/1,073,194
  6. Step 6: Final answer
    x = 1,965,398.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.