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Finding the Third Proportional to 392,731,256 and 854,415,248

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Solution

The third proportional to 392,731,256 and 854,415,248 is: 1,858,842,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,731,256 : 854,415,248 = 854,415,248 : x
  2. Step 2: Convert to fraction form
    392,731,256/854,415,248 = 854,415,248/x
  3. Step 3: Cross multiply
    392,731,256x = 854,415,248 × 854,415,248
  4. Step 4: Simplify right side
    392,731,256x = 730,025,416,014,901,504
  5. Step 5: Solve for x
    x = 730,025,416,014,901,504/392,731,256
  6. Step 6: Final answer
    x = 1,858,842,159.52

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