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Finding the Third Proportional to 791,193 and 1,225,881

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Solution

The third proportional to 791,193 and 1,225,881 is: 1,899,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,193 : 1,225,881 = 1,225,881 : x
  2. Step 2: Convert to fraction form
    791,193/1,225,881 = 1,225,881/x
  3. Step 3: Cross multiply
    791,193x = 1,225,881 × 1,225,881
  4. Step 4: Simplify right side
    791,193x = 1,502,784,226,161
  5. Step 5: Solve for x
    x = 1,502,784,226,161/791,193
  6. Step 6: Final answer
    x = 1,899,390.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.