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Finding the Third Proportional to 422,354.81 and 874,652.06

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Solution

The third proportional to 422,354.81 and 874,652.06 is: 1,811,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,354.81 : 874,652.06 = 874,652.06 : x
  2. Step 2: Convert to fraction form
    422,354.81/874,652.06 = 874,652.06/x
  3. Step 3: Cross multiply
    422,354.81x = 874,652.06 × 874,652.06
  4. Step 4: Simplify right side
    422,354.81x = 765,016,230,435.50
  5. Step 5: Solve for x
    x = 765,016,230,435.50/422,354.81
  6. Step 6: Final answer
    x = 1,811,311.74

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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.