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Finding the Third Proportional to 547,185 and 874,142

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Solution

The third proportional to 547,185 and 874,142 is: 1,396,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,185 : 874,142 = 874,142 : x
  2. Step 2: Convert to fraction form
    547,185/874,142 = 874,142/x
  3. Step 3: Cross multiply
    547,185x = 874,142 × 874,142
  4. Step 4: Simplify right side
    547,185x = 764,124,236,164
  5. Step 5: Solve for x
    x = 764,124,236,164/547,185
  6. Step 6: Final answer
    x = 1,396,464.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.