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Finding the Third Proportional to 441,939,946 and 614,482,327

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Solution

The third proportional to 441,939,946 and 614,482,327 is: 854,388,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,939,946 : 614,482,327 = 614,482,327 : x
  2. Step 2: Convert to fraction form
    441,939,946/614,482,327 = 614,482,327/x
  3. Step 3: Cross multiply
    441,939,946x = 614,482,327 × 614,482,327
  4. Step 4: Simplify right side
    441,939,946x = 377,588,530,195,334,912
  5. Step 5: Solve for x
    x = 377,588,530,195,334,912/441,939,946
  6. Step 6: Final answer
    x = 854,388,777.51

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1.5x scale

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.