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Finding the Third Proportional to 591,566 and 1,295,059

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Solution

The third proportional to 591,566 and 1,295,059 is: 2,835,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,566 : 1,295,059 = 1,295,059 : x
  2. Step 2: Convert to fraction form
    591,566/1,295,059 = 1,295,059/x
  3. Step 3: Cross multiply
    591,566x = 1,295,059 × 1,295,059
  4. Step 4: Simplify right side
    591,566x = 1,677,177,813,481
  5. Step 5: Solve for x
    x = 1,677,177,813,481/591,566
  6. Step 6: Final answer
    x = 2,835,149.10

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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.