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Finding the Third Proportional to 791,858 and 1,274,943

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Solution

The third proportional to 791,858 and 1,274,943 is: 2,052,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,858 : 1,274,943 = 1,274,943 : x
  2. Step 2: Convert to fraction form
    791,858/1,274,943 = 1,274,943/x
  3. Step 3: Cross multiply
    791,858x = 1,274,943 × 1,274,943
  4. Step 4: Simplify right side
    791,858x = 1,625,479,653,249
  5. Step 5: Solve for x
    x = 1,625,479,653,249/791,858
  6. Step 6: Final answer
    x = 2,052,741.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.