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Finding the Third Proportional to 494,467,566 and 1,029,627,748

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Solution

The third proportional to 494,467,566 and 1,029,627,748 is: 2,143,989,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,467,566 : 1,029,627,748 = 1,029,627,748 : x
  2. Step 2: Convert to fraction form
    494,467,566/1,029,627,748 = 1,029,627,748/x
  3. Step 3: Cross multiply
    494,467,566x = 1,029,627,748 × 1,029,627,748
  4. Step 4: Simplify right side
    494,467,566x = 1,060,133,299,451,551,488
  5. Step 5: Solve for x
    x = 1,060,133,299,451,551,488/494,467,566
  6. Step 6: Final answer
    x = 2,143,989,560.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.