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Finding the Third Proportional to 2,510,706 and 3,649,419

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Solution

The third proportional to 2,510,706 and 3,649,419 is: 5,304,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510,706 : 3,649,419 = 3,649,419 : x
  2. Step 2: Convert to fraction form
    2,510,706/3,649,419 = 3,649,419/x
  3. Step 3: Cross multiply
    2,510,706x = 3,649,419 × 3,649,419
  4. Step 4: Simplify right side
    2,510,706x = 13,318,259,037,561
  5. Step 5: Solve for x
    x = 13,318,259,037,561/2,510,706
  6. Step 6: Final answer
    x = 5,304,587.25

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.