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Finding the Third Proportional to 422,619,792 and 915,590,512

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Solution

The third proportional to 422,619,792 and 915,590,512 is: 1,983,593,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,619,792 : 915,590,512 = 915,590,512 : x
  2. Step 2: Convert to fraction form
    422,619,792/915,590,512 = 915,590,512/x
  3. Step 3: Cross multiply
    422,619,792x = 915,590,512 × 915,590,512
  4. Step 4: Simplify right side
    422,619,792x = 838,305,985,664,422,144
  5. Step 5: Solve for x
    x = 838,305,985,664,422,144/422,619,792
  6. Step 6: Final answer
    x = 1,983,593,768.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.