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Finding the Third Proportional to 754,802 and 1,212,022

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Solution

The third proportional to 754,802 and 1,212,022 is: 1,946,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,802 : 1,212,022 = 1,212,022 : x
  2. Step 2: Convert to fraction form
    754,802/1,212,022 = 1,212,022/x
  3. Step 3: Cross multiply
    754,802x = 1,212,022 × 1,212,022
  4. Step 4: Simplify right side
    754,802x = 1,468,997,328,484
  5. Step 5: Solve for x
    x = 1,468,997,328,484/754,802
  6. Step 6: Final answer
    x = 1,946,202.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.