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Finding the Third Proportional to 2,118,822 and 4,633,755

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Solution

The third proportional to 2,118,822 and 4,633,755 is: 10,133,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,822 : 4,633,755 = 4,633,755 : x
  2. Step 2: Convert to fraction form
    2,118,822/4,633,755 = 4,633,755/x
  3. Step 3: Cross multiply
    2,118,822x = 4,633,755 × 4,633,755
  4. Step 4: Simplify right side
    2,118,822x = 21,471,685,400,025
  5. Step 5: Solve for x
    x = 21,471,685,400,025/2,118,822
  6. Step 6: Final answer
    x = 10,133,784.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.