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Finding the Third Proportional to 2,676,938.63 and 4,078,137.38

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Solution

The third proportional to 2,676,938.63 and 4,078,137.38 is: 6,212,770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676,938.63 : 4,078,137.38 = 4,078,137.38 : x
  2. Step 2: Convert to fraction form
    2,676,938.63/4,078,137.38 = 4,078,137.38/x
  3. Step 3: Cross multiply
    2,676,938.63x = 4,078,137.38 × 4,078,137.38
  4. Step 4: Simplify right side
    2,676,938.63x = 16,631,204,449,371.89
  5. Step 5: Solve for x
    x = 16,631,204,449,371.89/2,676,938.63
  6. Step 6: Final answer
    x = 6,212,770.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.