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Finding the Third Proportional to 784,883 and 1,695,199

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Solution

The third proportional to 784,883 and 1,695,199 is: 3,661,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,883 : 1,695,199 = 1,695,199 : x
  2. Step 2: Convert to fraction form
    784,883/1,695,199 = 1,695,199/x
  3. Step 3: Cross multiply
    784,883x = 1,695,199 × 1,695,199
  4. Step 4: Simplify right side
    784,883x = 2,873,699,649,601
  5. Step 5: Solve for x
    x = 2,873,699,649,601/784,883
  6. Step 6: Final answer
    x = 3,661,309.58

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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.