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Finding the Third Proportional to 541,084 and 841,098

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Solution

The third proportional to 541,084 and 841,098 is: 1,307,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,084 : 841,098 = 841,098 : x
  2. Step 2: Convert to fraction form
    541,084/841,098 = 841,098/x
  3. Step 3: Cross multiply
    541,084x = 841,098 × 841,098
  4. Step 4: Simplify right side
    541,084x = 707,445,845,604
  5. Step 5: Solve for x
    x = 707,445,845,604/541,084
  6. Step 6: Final answer
    x = 1,307,460.29

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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.