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Finding the Third Proportional to 2,237,728 and 3,441,534

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Solution

The third proportional to 2,237,728 and 3,441,534 is: 5,292,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237,728 : 3,441,534 = 3,441,534 : x
  2. Step 2: Convert to fraction form
    2,237,728/3,441,534 = 3,441,534/x
  3. Step 3: Cross multiply
    2,237,728x = 3,441,534 × 3,441,534
  4. Step 4: Simplify right side
    2,237,728x = 11,844,156,273,156
  5. Step 5: Solve for x
    x = 11,844,156,273,156/2,237,728
  6. Step 6: Final answer
    x = 5,292,938.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.