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Finding the Third Proportional to 769,236 and 1,683,246

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Solution

The third proportional to 769,236 and 1,683,246 is: 3,683,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,236 : 1,683,246 = 1,683,246 : x
  2. Step 2: Convert to fraction form
    769,236/1,683,246 = 1,683,246/x
  3. Step 3: Cross multiply
    769,236x = 1,683,246 × 1,683,246
  4. Step 4: Simplify right side
    769,236x = 2,833,317,096,516
  5. Step 5: Solve for x
    x = 2,833,317,096,516/769,236
  6. Step 6: Final answer
    x = 3,683,287.18

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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.