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Finding the Third Proportional to 829,698.75 and 1,252,131.75

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Solution

The third proportional to 829,698.75 and 1,252,131.75 is: 1,889,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,698.75 : 1,252,131.75 = 1,252,131.75 : x
  2. Step 2: Convert to fraction form
    829,698.75/1,252,131.75 = 1,252,131.75/x
  3. Step 3: Cross multiply
    829,698.75x = 1,252,131.75 × 1,252,131.75
  4. Step 4: Simplify right side
    829,698.75x = 1,567,833,919,358.06
  5. Step 5: Solve for x
    x = 1,567,833,919,358.06/829,698.75
  6. Step 6: Final answer
    x = 1,889,642.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.