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Finding the Third Proportional to 2,181,316 and 4,665,895

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Solution

The third proportional to 2,181,316 and 4,665,895 is: 9,980,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,316 : 4,665,895 = 4,665,895 : x
  2. Step 2: Convert to fraction form
    2,181,316/4,665,895 = 4,665,895/x
  3. Step 3: Cross multiply
    2,181,316x = 4,665,895 × 4,665,895
  4. Step 4: Simplify right side
    2,181,316x = 21,770,576,151,025
  5. Step 5: Solve for x
    x = 21,770,576,151,025/2,181,316
  6. Step 6: Final answer
    x = 9,980,477.91

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