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Finding the Third Proportional to 2,160,438 and 4,709,676

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Solution

The third proportional to 2,160,438 and 4,709,676 is: 10,266,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,438 : 4,709,676 = 4,709,676 : x
  2. Step 2: Convert to fraction form
    2,160,438/4,709,676 = 4,709,676/x
  3. Step 3: Cross multiply
    2,160,438x = 4,709,676 × 4,709,676
  4. Step 4: Simplify right side
    2,160,438x = 22,181,048,024,976
  5. Step 5: Solve for x
    x = 22,181,048,024,976/2,160,438
  6. Step 6: Final answer
    x = 10,266,921.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.