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Finding the Third Proportional to 1,497,977 and 3,205,906

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Solution

The third proportional to 1,497,977 and 3,205,906 is: 6,861,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,977 : 3,205,906 = 3,205,906 : x
  2. Step 2: Convert to fraction form
    1,497,977/3,205,906 = 3,205,906/x
  3. Step 3: Cross multiply
    1,497,977x = 3,205,906 × 3,205,906
  4. Step 4: Simplify right side
    1,497,977x = 10,277,833,280,836
  5. Step 5: Solve for x
    x = 10,277,833,280,836/1,497,977
  6. Step 6: Final answer
    x = 6,861,142.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.