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Finding the Third Proportional to 1,042,968 and 2,198,022

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Solution

The third proportional to 1,042,968 and 2,198,022 is: 4,632,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,968 : 2,198,022 = 2,198,022 : x
  2. Step 2: Convert to fraction form
    1,042,968/2,198,022 = 2,198,022/x
  3. Step 3: Cross multiply
    1,042,968x = 2,198,022 × 2,198,022
  4. Step 4: Simplify right side
    1,042,968x = 4,831,300,712,484
  5. Step 5: Solve for x
    x = 4,831,300,712,484/1,042,968
  6. Step 6: Final answer
    x = 4,632,261.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.