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Finding the Third Proportional to 1,099,765.69 and 1,682,371.69

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Solution

The third proportional to 1,099,765.69 and 1,682,371.69 is: 2,573,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,765.69 : 1,682,371.69 = 1,682,371.69 : x
  2. Step 2: Convert to fraction form
    1,099,765.69/1,682,371.69 = 1,682,371.69/x
  3. Step 3: Cross multiply
    1,099,765.69x = 1,682,371.69 × 1,682,371.69
  4. Step 4: Simplify right side
    1,099,765.69x = 2,830,374,494,901.60
  5. Step 5: Solve for x
    x = 2,830,374,494,901.60/1,099,765.69
  6. Step 6: Final answer
    x = 2,573,615.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.