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Finding the Third Proportional to 739,478 and 1,135,929

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Solution

The third proportional to 739,478 and 1,135,929 is: 1,744,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,478 : 1,135,929 = 1,135,929 : x
  2. Step 2: Convert to fraction form
    739,478/1,135,929 = 1,135,929/x
  3. Step 3: Cross multiply
    739,478x = 1,135,929 × 1,135,929
  4. Step 4: Simplify right side
    739,478x = 1,290,334,693,041
  5. Step 5: Solve for x
    x = 1,290,334,693,041/739,478
  6. Step 6: Final answer
    x = 1,744,926.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.