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Finding the Third Proportional to 857,324.25 and 1,917,634.50

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Solution

The third proportional to 857,324.25 and 1,917,634.50 is: 4,289,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,324.25 : 1,917,634.50 = 1,917,634.50 : x
  2. Step 2: Convert to fraction form
    857,324.25/1,917,634.50 = 1,917,634.50/x
  3. Step 3: Cross multiply
    857,324.25x = 1,917,634.50 × 1,917,634.50
  4. Step 4: Simplify right side
    857,324.25x = 3,677,322,075,590.25
  5. Step 5: Solve for x
    x = 3,677,322,075,590.25/857,324.25
  6. Step 6: Final answer
    x = 4,289,301.36

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.