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Finding the Third Proportional to 1,042,985 and 2,198,061

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Solution

The third proportional to 1,042,985 and 2,198,061 is: 4,632,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,985 : 2,198,061 = 2,198,061 : x
  2. Step 2: Convert to fraction form
    1,042,985/2,198,061 = 2,198,061/x
  3. Step 3: Cross multiply
    1,042,985x = 2,198,061 × 2,198,061
  4. Step 4: Simplify right side
    1,042,985x = 4,831,472,159,721
  5. Step 5: Solve for x
    x = 4,831,472,159,721/1,042,985
  6. Step 6: Final answer
    x = 4,632,350.57

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