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Finding the Third Proportional to 787,566 and 1,188,558

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Solution

The third proportional to 787,566 and 1,188,558 is: 1,793,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,566 : 1,188,558 = 1,188,558 : x
  2. Step 2: Convert to fraction form
    787,566/1,188,558 = 1,188,558/x
  3. Step 3: Cross multiply
    787,566x = 1,188,558 × 1,188,558
  4. Step 4: Simplify right side
    787,566x = 1,412,670,119,364
  5. Step 5: Solve for x
    x = 1,412,670,119,364/787,566
  6. Step 6: Final answer
    x = 1,793,716.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.