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Finding the Third Proportional to 1,992,128 and 4,264,192

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Solution

The third proportional to 1,992,128 and 4,264,192 is: 9,127,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992,128 : 4,264,192 = 4,264,192 : x
  2. Step 2: Convert to fraction form
    1,992,128/4,264,192 = 4,264,192/x
  3. Step 3: Cross multiply
    1,992,128x = 4,264,192 × 4,264,192
  4. Step 4: Simplify right side
    1,992,128x = 18,183,333,412,864
  5. Step 5: Solve for x
    x = 18,183,333,412,864/1,992,128
  6. Step 6: Final answer
    x = 9,127,592.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.