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Finding the Third Proportional to 2,782,975.50 and 5,986,656

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Solution

The third proportional to 2,782,975.50 and 5,986,656 is: 12,878,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,975.50 : 5,986,656 = 5,986,656 : x
  2. Step 2: Convert to fraction form
    2,782,975.50/5,986,656 = 5,986,656/x
  3. Step 3: Cross multiply
    2,782,975.50x = 5,986,656 × 5,986,656
  4. Step 4: Simplify right side
    2,782,975.50x = 35,840,050,062,336
  5. Step 5: Solve for x
    x = 35,840,050,062,336/2,782,975.50
  6. Step 6: Final answer
    x = 12,878,320.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.