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Finding the Third Proportional to 591,261 and 1,296,974

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Solution

The third proportional to 591,261 and 1,296,974 is: 2,845,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,261 : 1,296,974 = 1,296,974 : x
  2. Step 2: Convert to fraction form
    591,261/1,296,974 = 1,296,974/x
  3. Step 3: Cross multiply
    591,261x = 1,296,974 × 1,296,974
  4. Step 4: Simplify right side
    591,261x = 1,682,141,556,676
  5. Step 5: Solve for x
    x = 1,682,141,556,676/591,261
  6. Step 6: Final answer
    x = 2,845,006.78

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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.