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Finding the Third Proportional to 1,456,419 and 2,261,309

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Solution

The third proportional to 1,456,419 and 2,261,309 is: 3,511,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,419 : 2,261,309 = 2,261,309 : x
  2. Step 2: Convert to fraction form
    1,456,419/2,261,309 = 2,261,309/x
  3. Step 3: Cross multiply
    1,456,419x = 2,261,309 × 2,261,309
  4. Step 4: Simplify right side
    1,456,419x = 5,113,518,393,481
  5. Step 5: Solve for x
    x = 5,113,518,393,481/1,456,419
  6. Step 6: Final answer
    x = 3,511,021.48

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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.