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Finding the Third Proportional to 856,839.50 and 1,881,824.50

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Solution

The third proportional to 856,839.50 and 1,881,824.50 is: 4,132,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,839.50 : 1,881,824.50 = 1,881,824.50 : x
  2. Step 2: Convert to fraction form
    856,839.50/1,881,824.50 = 1,881,824.50/x
  3. Step 3: Cross multiply
    856,839.50x = 1,881,824.50 × 1,881,824.50
  4. Step 4: Simplify right side
    856,839.50x = 3,541,263,448,800.25
  5. Step 5: Solve for x
    x = 3,541,263,448,800.25/856,839.50
  6. Step 6: Final answer
    x = 4,132,936.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.