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Finding the Third Proportional to 591,667 and 1,295,883

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Solution

The third proportional to 591,667 and 1,295,883 is: 2,838,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,667 : 1,295,883 = 1,295,883 : x
  2. Step 2: Convert to fraction form
    591,667/1,295,883 = 1,295,883/x
  3. Step 3: Cross multiply
    591,667x = 1,295,883 × 1,295,883
  4. Step 4: Simplify right side
    591,667x = 1,679,312,749,689
  5. Step 5: Solve for x
    x = 1,679,312,749,689/591,667
  6. Step 6: Final answer
    x = 2,838,273.47

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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.