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Finding the Third Proportional to 542,971 and 1,158,051

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Solution

The third proportional to 542,971 and 1,158,051 is: 2,469,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,971 : 1,158,051 = 1,158,051 : x
  2. Step 2: Convert to fraction form
    542,971/1,158,051 = 1,158,051/x
  3. Step 3: Cross multiply
    542,971x = 1,158,051 × 1,158,051
  4. Step 4: Simplify right side
    542,971x = 1,341,082,118,601
  5. Step 5: Solve for x
    x = 1,341,082,118,601/542,971
  6. Step 6: Final answer
    x = 2,469,896.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.