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Finding the Third Proportional to 441,939,944 and 614,482,324

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Solution

The third proportional to 441,939,944 and 614,482,324 is: 854,388,773.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,939,944 : 614,482,324 = 614,482,324 : x
  2. Step 2: Convert to fraction form
    441,939,944/614,482,324 = 614,482,324/x
  3. Step 3: Cross multiply
    441,939,944x = 614,482,324 × 614,482,324
  4. Step 4: Simplify right side
    441,939,944x = 377,588,526,508,440,960
  5. Step 5: Solve for x
    x = 377,588,526,508,440,960/441,939,944
  6. Step 6: Final answer
    x = 854,388,773.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.