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Finding the Third Proportional to 791,714 and 1,194,339

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Solution

The third proportional to 791,714 and 1,194,339 is: 1,801,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,714 : 1,194,339 = 1,194,339 : x
  2. Step 2: Convert to fraction form
    791,714/1,194,339 = 1,194,339/x
  3. Step 3: Cross multiply
    791,714x = 1,194,339 × 1,194,339
  4. Step 4: Simplify right side
    791,714x = 1,426,445,646,921
  5. Step 5: Solve for x
    x = 1,426,445,646,921/791,714
  6. Step 6: Final answer
    x = 1,801,718.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.