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Finding the Third Proportional to 766,801.69 and 1,190,619

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Solution

The third proportional to 766,801.69 and 1,190,619 is: 1,848,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,801.69 : 1,190,619 = 1,190,619 : x
  2. Step 2: Convert to fraction form
    766,801.69/1,190,619 = 1,190,619/x
  3. Step 3: Cross multiply
    766,801.69x = 1,190,619 × 1,190,619
  4. Step 4: Simplify right side
    766,801.69x = 1,417,573,603,161
  5. Step 5: Solve for x
    x = 1,417,573,603,161/766,801.69
  6. Step 6: Final answer
    x = 1,848,683.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.