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Finding the Third Proportional to 2,896,737 and 4,382,381

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Solution

The third proportional to 2,896,737 and 4,382,381 is: 6,629,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896,737 : 4,382,381 = 4,382,381 : x
  2. Step 2: Convert to fraction form
    2,896,737/4,382,381 = 4,382,381/x
  3. Step 3: Cross multiply
    2,896,737x = 4,382,381 × 4,382,381
  4. Step 4: Simplify right side
    2,896,737x = 19,205,263,229,161
  5. Step 5: Solve for x
    x = 19,205,263,229,161/2,896,737
  6. Step 6: Final answer
    x = 6,629,964.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.