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Finding the Third Proportional to 896,096 and 1,419,614

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Solution

The third proportional to 896,096 and 1,419,614 is: 2,248,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,096 : 1,419,614 = 1,419,614 : x
  2. Step 2: Convert to fraction form
    896,096/1,419,614 = 1,419,614/x
  3. Step 3: Cross multiply
    896,096x = 1,419,614 × 1,419,614
  4. Step 4: Simplify right side
    896,096x = 2,015,303,908,996
  5. Step 5: Solve for x
    x = 2,015,303,908,996/896,096
  6. Step 6: Final answer
    x = 2,248,982.15

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.