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Finding the Third Proportional to 809,777.25 and 1,874,674.13

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Solution

The third proportional to 809,777.25 and 1,874,674.13 is: 4,339,962.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,777.25 : 1,874,674.13 = 1,874,674.13 : x
  2. Step 2: Convert to fraction form
    809,777.25/1,874,674.13 = 1,874,674.13/x
  3. Step 3: Cross multiply
    809,777.25x = 1,874,674.13 × 1,874,674.13
  4. Step 4: Simplify right side
    809,777.25x = 3,514,403,074,944.52
  5. Step 5: Solve for x
    x = 3,514,403,074,944.52/809,777.25
  6. Step 6: Final answer
    x = 4,339,962.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.