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Finding the Third Proportional to 791,180 and 1,257,888

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Solution

The third proportional to 791,180 and 1,257,888 is: 1,999,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,180 : 1,257,888 = 1,257,888 : x
  2. Step 2: Convert to fraction form
    791,180/1,257,888 = 1,257,888/x
  3. Step 3: Cross multiply
    791,180x = 1,257,888 × 1,257,888
  4. Step 4: Simplify right side
    791,180x = 1,582,282,220,544
  5. Step 5: Solve for x
    x = 1,582,282,220,544/791,180
  6. Step 6: Final answer
    x = 1,999,901.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.