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Finding the Third Proportional to 313,784,589 and 684,068,060

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Solution

The third proportional to 313,784,589 and 684,068,060 is: 1,491,306,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,784,589 : 684,068,060 = 684,068,060 : x
  2. Step 2: Convert to fraction form
    313,784,589/684,068,060 = 684,068,060/x
  3. Step 3: Cross multiply
    313,784,589x = 684,068,060 × 684,068,060
  4. Step 4: Simplify right side
    313,784,589x = 467,949,110,712,163,584
  5. Step 5: Solve for x
    x = 467,949,110,712,163,584/313,784,589
  6. Step 6: Final answer
    x = 1,491,306,861.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.