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Finding the Third Proportional to 541,096 and 841,116

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Solution

The third proportional to 541,096 and 841,116 is: 1,307,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,096 : 841,116 = 841,116 : x
  2. Step 2: Convert to fraction form
    541,096/841,116 = 841,116/x
  3. Step 3: Cross multiply
    541,096x = 841,116 × 841,116
  4. Step 4: Simplify right side
    541,096x = 707,476,125,456
  5. Step 5: Solve for x
    x = 707,476,125,456/541,096
  6. Step 6: Final answer
    x = 1,307,487.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.