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Finding the Third Proportional to 787,700 and 1,728,571

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Solution

The third proportional to 787,700 and 1,728,571 is: 3,793,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,700 : 1,728,571 = 1,728,571 : x
  2. Step 2: Convert to fraction form
    787,700/1,728,571 = 1,728,571/x
  3. Step 3: Cross multiply
    787,700x = 1,728,571 × 1,728,571
  4. Step 4: Simplify right side
    787,700x = 2,987,957,702,041
  5. Step 5: Solve for x
    x = 2,987,957,702,041/787,700
  6. Step 6: Final answer
    x = 3,793,268.63

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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.