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Finding the Third Proportional to 769,203 and 1,683,385.50

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Solution

The third proportional to 769,203 and 1,683,385.50 is: 3,684,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,203 : 1,683,385.50 = 1,683,385.50 : x
  2. Step 2: Convert to fraction form
    769,203/1,683,385.50 = 1,683,385.50/x
  3. Step 3: Cross multiply
    769,203x = 1,683,385.50 × 1,683,385.50
  4. Step 4: Simplify right side
    769,203x = 2,833,786,741,610.25
  5. Step 5: Solve for x
    x = 2,833,786,741,610.25/769,203
  6. Step 6: Final answer
    x = 3,684,055.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.