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Finding the Third Proportional to 1,961,406 and 2,999,187

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Solution

The third proportional to 1,961,406 and 2,999,187 is: 4,586,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,406 : 2,999,187 = 2,999,187 : x
  2. Step 2: Convert to fraction form
    1,961,406/2,999,187 = 2,999,187/x
  3. Step 3: Cross multiply
    1,961,406x = 2,999,187 × 2,999,187
  4. Step 4: Simplify right side
    1,961,406x = 8,995,122,660,969
  5. Step 5: Solve for x
    x = 8,995,122,660,969/1,961,406
  6. Step 6: Final answer
    x = 4,586,058.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.