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Finding the Third Proportional to 693,922.75 and 1,606,331.25

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Solution

The third proportional to 693,922.75 and 1,606,331.25 is: 3,718,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,922.75 : 1,606,331.25 = 1,606,331.25 : x
  2. Step 2: Convert to fraction form
    693,922.75/1,606,331.25 = 1,606,331.25/x
  3. Step 3: Cross multiply
    693,922.75x = 1,606,331.25 × 1,606,331.25
  4. Step 4: Simplify right side
    693,922.75x = 2,580,300,084,726.56
  5. Step 5: Solve for x
    x = 2,580,300,084,726.56/693,922.75
  6. Step 6: Final answer
    x = 3,718,425.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.