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Finding the Third Proportional to 2,277,999 and 4,812,135

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Solution

The third proportional to 2,277,999 and 4,812,135 is: 10,165,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,999 : 4,812,135 = 4,812,135 : x
  2. Step 2: Convert to fraction form
    2,277,999/4,812,135 = 4,812,135/x
  3. Step 3: Cross multiply
    2,277,999x = 4,812,135 × 4,812,135
  4. Step 4: Simplify right side
    2,277,999x = 23,156,643,258,225
  5. Step 5: Solve for x
    x = 23,156,643,258,225/2,277,999
  6. Step 6: Final answer
    x = 10,165,343.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.