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Finding the Third Proportional to 2,912,400 and 6,057,216

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Solution

The third proportional to 2,912,400 and 6,057,216 is: 12,597,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,400 : 6,057,216 = 6,057,216 : x
  2. Step 2: Convert to fraction form
    2,912,400/6,057,216 = 6,057,216/x
  3. Step 3: Cross multiply
    2,912,400x = 6,057,216 × 6,057,216
  4. Step 4: Simplify right side
    2,912,400x = 36,689,865,670,656
  5. Step 5: Solve for x
    x = 36,689,865,670,656/2,912,400
  6. Step 6: Final answer
    x = 12,597,811.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.