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Finding the Third Proportional to 540,078 and 1,181,820

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Solution

The third proportional to 540,078 and 1,181,820 is: 2,586,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,078 : 1,181,820 = 1,181,820 : x
  2. Step 2: Convert to fraction form
    540,078/1,181,820 = 1,181,820/x
  3. Step 3: Cross multiply
    540,078x = 1,181,820 × 1,181,820
  4. Step 4: Simplify right side
    540,078x = 1,396,698,512,400
  5. Step 5: Solve for x
    x = 1,396,698,512,400/540,078
  6. Step 6: Final answer
    x = 2,586,105.18

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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.