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Finding the Third Proportional to 522,443,824 and 755,215,944

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Solution

The third proportional to 522,443,824 and 755,215,944 is: 1,091,698,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,443,824 : 755,215,944 = 755,215,944 : x
  2. Step 2: Convert to fraction form
    522,443,824/755,215,944 = 755,215,944/x
  3. Step 3: Cross multiply
    522,443,824x = 755,215,944 × 755,215,944
  4. Step 4: Simplify right side
    522,443,824x = 570,351,122,071,811,136
  5. Step 5: Solve for x
    x = 570,351,122,071,811,136/522,443,824
  6. Step 6: Final answer
    x = 1,091,698,467.61

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.