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Finding the Third Proportional to 1,456,421 and 2,261,311

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Solution

The third proportional to 1,456,421 and 2,261,311 is: 3,511,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,421 : 2,261,311 = 2,261,311 : x
  2. Step 2: Convert to fraction form
    1,456,421/2,261,311 = 2,261,311/x
  3. Step 3: Cross multiply
    1,456,421x = 2,261,311 × 2,261,311
  4. Step 4: Simplify right side
    1,456,421x = 5,113,527,438,721
  5. Step 5: Solve for x
    x = 5,113,527,438,721/1,456,421
  6. Step 6: Final answer
    x = 3,511,022.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.