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Finding the Third Proportional to 1,900,538 and 4,098,145

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Solution

The third proportional to 1,900,538 and 4,098,145 is: 8,836,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,538 : 4,098,145 = 4,098,145 : x
  2. Step 2: Convert to fraction form
    1,900,538/4,098,145 = 4,098,145/x
  3. Step 3: Cross multiply
    1,900,538x = 4,098,145 × 4,098,145
  4. Step 4: Simplify right side
    1,900,538x = 16,794,792,441,025
  5. Step 5: Solve for x
    x = 16,794,792,441,025/1,900,538
  6. Step 6: Final answer
    x = 8,836,862.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.