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Finding the Third Proportional to 1,198,703.81 and 1,799,422.59

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Solution

The third proportional to 1,198,703.81 and 1,799,422.59 is: 2,701,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,703.81 : 1,799,422.59 = 1,799,422.59 : x
  2. Step 2: Convert to fraction form
    1,198,703.81/1,799,422.59 = 1,799,422.59/x
  3. Step 3: Cross multiply
    1,198,703.81x = 1,799,422.59 × 1,799,422.59
  4. Step 4: Simplify right side
    1,198,703.81x = 3,237,921,670,897.98
  5. Step 5: Solve for x
    x = 3,237,921,670,897.98/1,198,703.81
  6. Step 6: Final answer
    x = 2,701,185.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.