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Finding the Third Proportional to 392,664,312 and 854,279,280

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Solution

The third proportional to 392,664,312 and 854,279,280 is: 1,858,567,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,664,312 : 854,279,280 = 854,279,280 : x
  2. Step 2: Convert to fraction form
    392,664,312/854,279,280 = 854,279,280/x
  3. Step 3: Cross multiply
    392,664,312x = 854,279,280 × 854,279,280
  4. Step 4: Simplify right side
    392,664,312x = 729,793,088,237,318,400
  5. Step 5: Solve for x
    x = 729,793,088,237,318,400/392,664,312
  6. Step 6: Final answer
    x = 1,858,567,396.97

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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.