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Finding the Third Proportional to 983,284.31 and 2,161,699.31

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Solution

The third proportional to 983,284.31 and 2,161,699.31 is: 4,752,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,284.31 : 2,161,699.31 = 2,161,699.31 : x
  2. Step 2: Convert to fraction form
    983,284.31/2,161,699.31 = 2,161,699.31/x
  3. Step 3: Cross multiply
    983,284.31x = 2,161,699.31 × 2,161,699.31
  4. Step 4: Simplify right side
    983,284.31x = 4,672,943,917,662.97
  5. Step 5: Solve for x
    x = 4,672,943,917,662.97/983,284.31
  6. Step 6: Final answer
    x = 4,752,383.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.