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Finding the Third Proportional to 938,865 and 1,412,788.50

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Solution

The third proportional to 938,865 and 1,412,788.50 is: 2,125,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,865 : 1,412,788.50 = 1,412,788.50 : x
  2. Step 2: Convert to fraction form
    938,865/1,412,788.50 = 1,412,788.50/x
  3. Step 3: Cross multiply
    938,865x = 1,412,788.50 × 1,412,788.50
  4. Step 4: Simplify right side
    938,865x = 1,995,971,345,732.25
  5. Step 5: Solve for x
    x = 1,995,971,345,732.25/938,865
  6. Step 6: Final answer
    x = 2,125,940.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.