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Finding the Third Proportional to 1,936,296 and 4,208,424

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Solution

The third proportional to 1,936,296 and 4,208,424 is: 9,146,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936,296 : 4,208,424 = 4,208,424 : x
  2. Step 2: Convert to fraction form
    1,936,296/4,208,424 = 4,208,424/x
  3. Step 3: Cross multiply
    1,936,296x = 4,208,424 × 4,208,424
  4. Step 4: Simplify right side
    1,936,296x = 17,710,832,563,776
  5. Step 5: Solve for x
    x = 17,710,832,563,776/1,936,296
  6. Step 6: Final answer
    x = 9,146,758.84

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