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Finding the Third Proportional to 591,708 and 1,265,427

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Solution

The third proportional to 591,708 and 1,265,427 is: 2,706,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,708 : 1,265,427 = 1,265,427 : x
  2. Step 2: Convert to fraction form
    591,708/1,265,427 = 1,265,427/x
  3. Step 3: Cross multiply
    591,708x = 1,265,427 × 1,265,427
  4. Step 4: Simplify right side
    591,708x = 1,601,305,492,329
  5. Step 5: Solve for x
    x = 1,601,305,492,329/591,708
  6. Step 6: Final answer
    x = 2,706,242.76

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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.