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Finding the Third Proportional to 1,032,998 and 2,231,980

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Solution

The third proportional to 1,032,998 and 2,231,980 is: 4,822,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,998 : 2,231,980 = 2,231,980 : x
  2. Step 2: Convert to fraction form
    1,032,998/2,231,980 = 2,231,980/x
  3. Step 3: Cross multiply
    1,032,998x = 2,231,980 × 2,231,980
  4. Step 4: Simplify right side
    1,032,998x = 4,981,734,720,400
  5. Step 5: Solve for x
    x = 4,981,734,720,400/1,032,998
  6. Step 6: Final answer
    x = 4,822,598.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.