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Finding the Third Proportional to 540,052 and 1,181,816

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Solution

The third proportional to 540,052 and 1,181,816 is: 2,586,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,052 : 1,181,816 = 1,181,816 : x
  2. Step 2: Convert to fraction form
    540,052/1,181,816 = 1,181,816/x
  3. Step 3: Cross multiply
    540,052x = 1,181,816 × 1,181,816
  4. Step 4: Simplify right side
    540,052x = 1,396,689,057,856
  5. Step 5: Solve for x
    x = 1,396,689,057,856/540,052
  6. Step 6: Final answer
    x = 2,586,212.18

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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.