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Finding the Third Proportional to 1,961,738 and 2,999,632

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Solution

The third proportional to 1,961,738 and 2,999,632 is: 4,586,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,738 : 2,999,632 = 2,999,632 : x
  2. Step 2: Convert to fraction form
    1,961,738/2,999,632 = 2,999,632/x
  3. Step 3: Cross multiply
    1,961,738x = 2,999,632 × 2,999,632
  4. Step 4: Simplify right side
    1,961,738x = 8,997,792,135,424
  5. Step 5: Solve for x
    x = 8,997,792,135,424/1,961,738
  6. Step 6: Final answer
    x = 4,586,643.14

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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.