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Finding the Third Proportional to 1,032,993 and 2,231,970.19

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Solution

The third proportional to 1,032,993 and 2,231,970.19 is: 4,822,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,993 : 2,231,970.19 = 2,231,970.19 : x
  2. Step 2: Convert to fraction form
    1,032,993/2,231,970.19 = 2,231,970.19/x
  3. Step 3: Cross multiply
    1,032,993x = 2,231,970.19 × 2,231,970.19
  4. Step 4: Simplify right side
    1,032,993x = 4,981,690,917,888.79
  5. Step 5: Solve for x
    x = 4,981,690,917,888.79/1,032,993
  6. Step 6: Final answer
    x = 4,822,579.55

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Why These Related Problems?

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