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Finding the Third Proportional to 1,936,289 and 4,208,405

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Solution

The third proportional to 1,936,289 and 4,208,405 is: 9,146,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936,289 : 4,208,405 = 4,208,405 : x
  2. Step 2: Convert to fraction form
    1,936,289/4,208,405 = 4,208,405/x
  3. Step 3: Cross multiply
    1,936,289x = 4,208,405 × 4,208,405
  4. Step 4: Simplify right side
    1,936,289x = 17,710,672,644,025
  5. Step 5: Solve for x
    x = 17,710,672,644,025/1,936,289
  6. Step 6: Final answer
    x = 9,146,709.32

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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.