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Finding the Third Proportional to 2,270,456 and 3,415,251

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Solution

The third proportional to 2,270,456 and 3,415,251 is: 5,137,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,456 : 3,415,251 = 3,415,251 : x
  2. Step 2: Convert to fraction form
    2,270,456/3,415,251 = 3,415,251/x
  3. Step 3: Cross multiply
    2,270,456x = 3,415,251 × 3,415,251
  4. Step 4: Simplify right side
    2,270,456x = 11,663,939,393,001
  5. Step 5: Solve for x
    x = 11,663,939,393,001/2,270,456
  6. Step 6: Final answer
    x = 5,137,267.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.