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Finding the Third Proportional to 452,446,104 and 691,818,048

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Solution

The third proportional to 452,446,104 and 691,818,048 is: 1,057,832,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,446,104 : 691,818,048 = 691,818,048 : x
  2. Step 2: Convert to fraction form
    452,446,104/691,818,048 = 691,818,048/x
  3. Step 3: Cross multiply
    452,446,104x = 691,818,048 × 691,818,048
  4. Step 4: Simplify right side
    452,446,104x = 478,612,211,538,530,304
  5. Step 5: Solve for x
    x = 478,612,211,538,530,304/452,446,104
  6. Step 6: Final answer
    x = 1,057,832,540.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.