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Finding the Third Proportional to 552,200,598 and 1,226,981,871

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Solution

The third proportional to 552,200,598 and 1,226,981,871 is: 2,726,336,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,200,598 : 1,226,981,871 = 1,226,981,871 : x
  2. Step 2: Convert to fraction form
    552,200,598/1,226,981,871 = 1,226,981,871/x
  3. Step 3: Cross multiply
    552,200,598x = 1,226,981,871 × 1,226,981,871
  4. Step 4: Simplify right side
    552,200,598x = 1,505,484,511,762,660,608
  5. Step 5: Solve for x
    x = 1,505,484,511,762,660,608/552,200,598
  6. Step 6: Final answer
    x = 2,726,336,257.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.