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Finding the Third Proportional to 591,195 and 1,292,812

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Solution

The third proportional to 591,195 and 1,292,812 is: 2,827,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,195 : 1,292,812 = 1,292,812 : x
  2. Step 2: Convert to fraction form
    591,195/1,292,812 = 1,292,812/x
  3. Step 3: Cross multiply
    591,195x = 1,292,812 × 1,292,812
  4. Step 4: Simplify right side
    591,195x = 1,671,362,867,344
  5. Step 5: Solve for x
    x = 1,671,362,867,344/591,195
  6. Step 6: Final answer
    x = 2,827,092.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.