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Finding the Third Proportional to 591,702 and 1,265,415

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Solution

The third proportional to 591,702 and 1,265,415 is: 2,706,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,702 : 1,265,415 = 1,265,415 : x
  2. Step 2: Convert to fraction form
    591,702/1,265,415 = 1,265,415/x
  3. Step 3: Cross multiply
    591,702x = 1,265,415 × 1,265,415
  4. Step 4: Simplify right side
    591,702x = 1,601,275,122,225
  5. Step 5: Solve for x
    x = 1,601,275,122,225/591,702
  6. Step 6: Final answer
    x = 2,706,218.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.