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Finding the Third Proportional to 755,704.69 and 1,133,083.69

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Solution

The third proportional to 755,704.69 and 1,133,083.69 is: 1,698,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,704.69 : 1,133,083.69 = 1,133,083.69 : x
  2. Step 2: Convert to fraction form
    755,704.69/1,133,083.69 = 1,133,083.69/x
  3. Step 3: Cross multiply
    755,704.69x = 1,133,083.69 × 1,133,083.69
  4. Step 4: Simplify right side
    755,704.69x = 1,283,878,642,878.60
  5. Step 5: Solve for x
    x = 1,283,878,642,878.60/755,704.69
  6. Step 6: Final answer
    x = 1,698,915.81

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