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Finding the Third Proportional to 2,056,472 and 3,201,838

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Solution

The third proportional to 2,056,472 and 3,201,838 is: 4,985,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,472 : 3,201,838 = 3,201,838 : x
  2. Step 2: Convert to fraction form
    2,056,472/3,201,838 = 3,201,838/x
  3. Step 3: Cross multiply
    2,056,472x = 3,201,838 × 3,201,838
  4. Step 4: Simplify right side
    2,056,472x = 10,251,766,578,244
  5. Step 5: Solve for x
    x = 10,251,766,578,244/2,056,472
  6. Step 6: Final answer
    x = 4,985,123.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.