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Finding the Third Proportional to 494,467,594 and 1,029,627,792.50

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Solution

The third proportional to 494,467,594 and 1,029,627,792.50 is: 2,143,989,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,467,594 : 1,029,627,792.50 = 1,029,627,792.50 : x
  2. Step 2: Convert to fraction form
    494,467,594/1,029,627,792.50 = 1,029,627,792.50/x
  3. Step 3: Cross multiply
    494,467,594x = 1,029,627,792.50 × 1,029,627,792.50
  4. Step 4: Simplify right side
    494,467,594x = 1,060,133,391,088,423,040
  5. Step 5: Solve for x
    x = 1,060,133,391,088,423,040/494,467,594
  6. Step 6: Final answer
    x = 2,143,989,624.30

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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.