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Finding the Third Proportional to 541,863 and 1,190,985

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Solution

The third proportional to 541,863 and 1,190,985 is: 2,617,719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,863 : 1,190,985 = 1,190,985 : x
  2. Step 2: Convert to fraction form
    541,863/1,190,985 = 1,190,985/x
  3. Step 3: Cross multiply
    541,863x = 1,190,985 × 1,190,985
  4. Step 4: Simplify right side
    541,863x = 1,418,445,270,225
  5. Step 5: Solve for x
    x = 1,418,445,270,225/541,863
  6. Step 6: Final answer
    x = 2,617,719.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.