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Finding the Third Proportional to 2,146,176 and 4,548,231

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Solution

The third proportional to 2,146,176 and 4,548,231 is: 9,638,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,176 : 4,548,231 = 4,548,231 : x
  2. Step 2: Convert to fraction form
    2,146,176/4,548,231 = 4,548,231/x
  3. Step 3: Cross multiply
    2,146,176x = 4,548,231 × 4,548,231
  4. Step 4: Simplify right side
    2,146,176x = 20,686,405,229,361
  5. Step 5: Solve for x
    x = 20,686,405,229,361/2,146,176
  6. Step 6: Final answer
    x = 9,638,727.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.