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Finding the Third Proportional to 2,049,906 and 3,184,938

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Solution

The third proportional to 2,049,906 and 3,184,938 is: 4,948,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,906 : 3,184,938 = 3,184,938 : x
  2. Step 2: Convert to fraction form
    2,049,906/3,184,938 = 3,184,938/x
  3. Step 3: Cross multiply
    2,049,906x = 3,184,938 × 3,184,938
  4. Step 4: Simplify right side
    2,049,906x = 10,143,830,063,844
  5. Step 5: Solve for x
    x = 10,143,830,063,844/2,049,906
  6. Step 6: Final answer
    x = 4,948,436.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.