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Finding the Third Proportional to 313,784,586 and 684,068,054

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Solution

The third proportional to 313,784,586 and 684,068,054 is: 1,491,306,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,784,586 : 684,068,054 = 684,068,054 : x
  2. Step 2: Convert to fraction form
    313,784,586/684,068,054 = 684,068,054/x
  3. Step 3: Cross multiply
    313,784,586x = 684,068,054 × 684,068,054
  4. Step 4: Simplify right side
    313,784,586x = 467,949,102,503,346,944
  5. Step 5: Solve for x
    x = 467,949,102,503,346,944/313,784,586
  6. Step 6: Final answer
    x = 1,491,306,849.93

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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.