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Finding the Third Proportional to 2,369,216 and 3,376,608

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Solution

The third proportional to 2,369,216 and 3,376,608 is: 4,812,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,216 : 3,376,608 = 3,376,608 : x
  2. Step 2: Convert to fraction form
    2,369,216/3,376,608 = 3,376,608/x
  3. Step 3: Cross multiply
    2,369,216x = 3,376,608 × 3,376,608
  4. Step 4: Simplify right side
    2,369,216x = 11,401,481,585,664
  5. Step 5: Solve for x
    x = 11,401,481,585,664/2,369,216
  6. Step 6: Final answer
    x = 4,812,343.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.