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Finding the Third Proportional to 541,108 and 841,134

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Solution

The third proportional to 541,108 and 841,134 is: 1,307,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,108 : 841,134 = 841,134 : x
  2. Step 2: Convert to fraction form
    541,108/841,134 = 841,134/x
  3. Step 3: Cross multiply
    541,108x = 841,134 × 841,134
  4. Step 4: Simplify right side
    541,108x = 707,506,405,956
  5. Step 5: Solve for x
    x = 707,506,405,956/541,108
  6. Step 6: Final answer
    x = 1,307,514.22

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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.