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Finding the Third Proportional to 791,170 and 1,225,848

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Solution

The third proportional to 791,170 and 1,225,848 is: 1,899,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,170 : 1,225,848 = 1,225,848 : x
  2. Step 2: Convert to fraction form
    791,170/1,225,848 = 1,225,848/x
  3. Step 3: Cross multiply
    791,170x = 1,225,848 × 1,225,848
  4. Step 4: Simplify right side
    791,170x = 1,502,703,319,104
  5. Step 5: Solve for x
    x = 1,502,703,319,104/791,170
  6. Step 6: Final answer
    x = 1,899,343.15

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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.