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Finding the Third Proportional to 422,366.06 and 874,672.31

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Solution

The third proportional to 422,366.06 and 874,672.31 is: 1,811,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,366.06 : 874,672.31 = 874,672.31 : x
  2. Step 2: Convert to fraction form
    422,366.06/874,672.31 = 874,672.31/x
  3. Step 3: Cross multiply
    422,366.06x = 874,672.31 × 874,672.31
  4. Step 4: Simplify right side
    422,366.06x = 765,051,654,254.10
  5. Step 5: Solve for x
    x = 765,051,654,254.10/422,366.06
  6. Step 6: Final answer
    x = 1,811,347.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.