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Finding the Third Proportional to 445,083,898 and 654,293,073

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Solution

The third proportional to 445,083,898 and 654,293,073 is: 961,839,840.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,083,898 : 654,293,073 = 654,293,073 : x
  2. Step 2: Convert to fraction form
    445,083,898/654,293,073 = 654,293,073/x
  3. Step 3: Cross multiply
    445,083,898x = 654,293,073 × 654,293,073
  4. Step 4: Simplify right side
    445,083,898x = 428,099,425,375,783,360
  5. Step 5: Solve for x
    x = 428,099,425,375,783,360/445,083,898
  6. Step 6: Final answer
    x = 961,839,840.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.