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Finding the Third Proportional to 2,129,844 and 4,632,864

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Solution

The third proportional to 2,129,844 and 4,632,864 is: 10,077,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,844 : 4,632,864 = 4,632,864 : x
  2. Step 2: Convert to fraction form
    2,129,844/4,632,864 = 4,632,864/x
  3. Step 3: Cross multiply
    2,129,844x = 4,632,864 × 4,632,864
  4. Step 4: Simplify right side
    2,129,844x = 21,463,428,842,496
  5. Step 5: Solve for x
    x = 21,463,428,842,496/2,129,844
  6. Step 6: Final answer
    x = 10,077,465.22

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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.