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Finding the Third Proportional to 2,183,456 and 4,739,872

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Solution

The third proportional to 2,183,456 and 4,739,872 is: 10,289,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,456 : 4,739,872 = 4,739,872 : x
  2. Step 2: Convert to fraction form
    2,183,456/4,739,872 = 4,739,872/x
  3. Step 3: Cross multiply
    2,183,456x = 4,739,872 × 4,739,872
  4. Step 4: Simplify right side
    2,183,456x = 22,466,386,576,384
  5. Step 5: Solve for x
    x = 22,466,386,576,384/2,183,456
  6. Step 6: Final answer
    x = 10,289,369.96

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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.