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Finding the Third Proportional to 2,400,096 and 3,376,032

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Solution

The third proportional to 2,400,096 and 3,376,032 is: 4,748,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,096 : 3,376,032 = 3,376,032 : x
  2. Step 2: Convert to fraction form
    2,400,096/3,376,032 = 3,376,032/x
  3. Step 3: Cross multiply
    2,400,096x = 3,376,032 × 3,376,032
  4. Step 4: Simplify right side
    2,400,096x = 11,397,592,065,024
  5. Step 5: Solve for x
    x = 11,397,592,065,024/2,400,096
  6. Step 6: Final answer
    x = 4,748,806.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.