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Finding the Third Proportional to 1,283,782.50 and 1,986,795

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Solution

The third proportional to 1,283,782.50 and 1,986,795 is: 3,074,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,782.50 : 1,986,795 = 1,986,795 : x
  2. Step 2: Convert to fraction form
    1,283,782.50/1,986,795 = 1,986,795/x
  3. Step 3: Cross multiply
    1,283,782.50x = 1,986,795 × 1,986,795
  4. Step 4: Simplify right side
    1,283,782.50x = 3,947,354,372,025
  5. Step 5: Solve for x
    x = 3,947,354,372,025/1,283,782.50
  6. Step 6: Final answer
    x = 3,074,784.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.