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Finding the Third Proportional to 825,853.50 and 1,269,783

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Solution

The third proportional to 825,853.50 and 1,269,783 is: 1,952,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,853.50 : 1,269,783 = 1,269,783 : x
  2. Step 2: Convert to fraction form
    825,853.50/1,269,783 = 1,269,783/x
  3. Step 3: Cross multiply
    825,853.50x = 1,269,783 × 1,269,783
  4. Step 4: Simplify right side
    825,853.50x = 1,612,348,867,089
  5. Step 5: Solve for x
    x = 1,612,348,867,089/825,853.50
  6. Step 6: Final answer
    x = 1,952,342.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.