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Finding the Third Proportional to 2,169,642 and 4,665,816

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Solution

The third proportional to 2,169,642 and 4,665,816 is: 10,033,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,642 : 4,665,816 = 4,665,816 : x
  2. Step 2: Convert to fraction form
    2,169,642/4,665,816 = 4,665,816/x
  3. Step 3: Cross multiply
    2,169,642x = 4,665,816 × 4,665,816
  4. Step 4: Simplify right side
    2,169,642x = 21,769,838,945,856
  5. Step 5: Solve for x
    x = 21,769,838,945,856/2,169,642
  6. Step 6: Final answer
    x = 10,033,839.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.