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Finding the Third Proportional to 2,143,643 and 4,719,084

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Solution

The third proportional to 2,143,643 and 4,719,084 is: 10,388,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,643 : 4,719,084 = 4,719,084 : x
  2. Step 2: Convert to fraction form
    2,143,643/4,719,084 = 4,719,084/x
  3. Step 3: Cross multiply
    2,143,643x = 4,719,084 × 4,719,084
  4. Step 4: Simplify right side
    2,143,643x = 22,269,753,799,056
  5. Step 5: Solve for x
    x = 22,269,753,799,056/2,143,643
  6. Step 6: Final answer
    x = 10,388,741.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.