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Finding the Third Proportional to 692,305 and 1,495,327

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Solution

The third proportional to 692,305 and 1,495,327 is: 3,229,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,305 : 1,495,327 = 1,495,327 : x
  2. Step 2: Convert to fraction form
    692,305/1,495,327 = 1,495,327/x
  3. Step 3: Cross multiply
    692,305x = 1,495,327 × 1,495,327
  4. Step 4: Simplify right side
    692,305x = 2,236,002,836,929
  5. Step 5: Solve for x
    x = 2,236,002,836,929/692,305
  6. Step 6: Final answer
    x = 3,229,794.44

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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.