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Finding the Third Proportional to 1,800,144 and 2,531,784

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Solution

The third proportional to 1,800,144 and 2,531,784 is: 3,560,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800,144 : 2,531,784 = 2,531,784 : x
  2. Step 2: Convert to fraction form
    1,800,144/2,531,784 = 2,531,784/x
  3. Step 3: Cross multiply
    1,800,144x = 2,531,784 × 2,531,784
  4. Step 4: Simplify right side
    1,800,144x = 6,409,930,222,656
  5. Step 5: Solve for x
    x = 6,409,930,222,656/1,800,144
  6. Step 6: Final answer
    x = 3,560,787.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.