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Finding the Third Proportional to 739,894 and 1,592,080

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Solution

The third proportional to 739,894 and 1,592,080 is: 3,425,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,894 : 1,592,080 = 1,592,080 : x
  2. Step 2: Convert to fraction form
    739,894/1,592,080 = 1,592,080/x
  3. Step 3: Cross multiply
    739,894x = 1,592,080 × 1,592,080
  4. Step 4: Simplify right side
    739,894x = 2,534,718,726,400
  5. Step 5: Solve for x
    x = 2,534,718,726,400/739,894
  6. Step 6: Final answer
    x = 3,425,786.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.