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Finding the Third Proportional to 540,058 and 1,181,828

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Solution

The third proportional to 540,058 and 1,181,828 is: 2,586,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,058 : 1,181,828 = 1,181,828 : x
  2. Step 2: Convert to fraction form
    540,058/1,181,828 = 1,181,828/x
  3. Step 3: Cross multiply
    540,058x = 1,181,828 × 1,181,828
  4. Step 4: Simplify right side
    540,058x = 1,396,717,421,584
  5. Step 5: Solve for x
    x = 1,396,717,421,584/540,058
  6. Step 6: Final answer
    x = 2,586,235.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.