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Finding the Third Proportional to 1,940,776 and 4,211,424

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Solution

The third proportional to 1,940,776 and 4,211,424 is: 9,138,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,776 : 4,211,424 = 4,211,424 : x
  2. Step 2: Convert to fraction form
    1,940,776/4,211,424 = 4,211,424/x
  3. Step 3: Cross multiply
    1,940,776x = 4,211,424 × 4,211,424
  4. Step 4: Simplify right side
    1,940,776x = 17,736,092,107,776
  5. Step 5: Solve for x
    x = 17,736,092,107,776/1,940,776
  6. Step 6: Final answer
    x = 9,138,660.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.