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Finding the Third Proportional to 540,048 and 1,181,808

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Solution

The third proportional to 540,048 and 1,181,808 is: 2,586,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,048 : 1,181,808 = 1,181,808 : x
  2. Step 2: Convert to fraction form
    540,048/1,181,808 = 1,181,808/x
  3. Step 3: Cross multiply
    540,048x = 1,181,808 × 1,181,808
  4. Step 4: Simplify right side
    540,048x = 1,396,670,148,864
  5. Step 5: Solve for x
    x = 1,396,670,148,864/540,048
  6. Step 6: Final answer
    x = 2,586,196.32

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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.