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Finding the Third Proportional to 2,280,800 and 4,938,034

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Solution

The third proportional to 2,280,800 and 4,938,034 is: 10,691,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280,800 : 4,938,034 = 4,938,034 : x
  2. Step 2: Convert to fraction form
    2,280,800/4,938,034 = 4,938,034/x
  3. Step 3: Cross multiply
    2,280,800x = 4,938,034 × 4,938,034
  4. Step 4: Simplify right side
    2,280,800x = 24,384,179,785,156
  5. Step 5: Solve for x
    x = 24,384,179,785,156/2,280,800
  6. Step 6: Final answer
    x = 10,691,064.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.