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Finding the Third Proportional to 811,858 and 1,153,941

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Solution

The third proportional to 811,858 and 1,153,941 is: 1,640,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,858 : 1,153,941 = 1,153,941 : x
  2. Step 2: Convert to fraction form
    811,858/1,153,941 = 1,153,941/x
  3. Step 3: Cross multiply
    811,858x = 1,153,941 × 1,153,941
  4. Step 4: Simplify right side
    811,858x = 1,331,579,831,481
  5. Step 5: Solve for x
    x = 1,331,579,831,481/811,858
  6. Step 6: Final answer
    x = 1,640,163.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.