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Finding the Third Proportional to 769,194 and 1,683,396

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Solution

The third proportional to 769,194 and 1,683,396 is: 3,684,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,194 : 1,683,396 = 1,683,396 : x
  2. Step 2: Convert to fraction form
    769,194/1,683,396 = 1,683,396/x
  3. Step 3: Cross multiply
    769,194x = 1,683,396 × 1,683,396
  4. Step 4: Simplify right side
    769,194x = 2,833,822,092,816
  5. Step 5: Solve for x
    x = 2,833,822,092,816/769,194
  6. Step 6: Final answer
    x = 3,684,144.82

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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.