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Finding the Third Proportional to 948,546 and 1,387,327

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Solution

The third proportional to 948,546 and 1,387,327 is: 2,029,080.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,546 : 1,387,327 = 1,387,327 : x
  2. Step 2: Convert to fraction form
    948,546/1,387,327 = 1,387,327/x
  3. Step 3: Cross multiply
    948,546x = 1,387,327 × 1,387,327
  4. Step 4: Simplify right side
    948,546x = 1,924,676,204,929
  5. Step 5: Solve for x
    x = 1,924,676,204,929/948,546
  6. Step 6: Final answer
    x = 2,029,080.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.