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Finding the Third Proportional to 494,467,564 and 1,029,627,744

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Solution

The third proportional to 494,467,564 and 1,029,627,744 is: 2,143,989,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,467,564 : 1,029,627,744 = 1,029,627,744 : x
  2. Step 2: Convert to fraction form
    494,467,564/1,029,627,744 = 1,029,627,744/x
  3. Step 3: Cross multiply
    494,467,564x = 1,029,627,744 × 1,029,627,744
  4. Step 4: Simplify right side
    494,467,564x = 1,060,133,291,214,529,536
  5. Step 5: Solve for x
    x = 1,060,133,291,214,529,536/494,467,564
  6. Step 6: Final answer
    x = 2,143,989,552.40

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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.