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Finding the Third Proportional to 452,318,211.75 and 979,744,394.25

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Solution

The third proportional to 452,318,211.75 and 979,744,394.25 is: 2,122,176,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,318,211.75 : 979,744,394.25 = 979,744,394.25 : x
  2. Step 2: Convert to fraction form
    452,318,211.75/979,744,394.25 = 979,744,394.25/x
  3. Step 3: Cross multiply
    452,318,211.75x = 979,744,394.25 × 979,744,394.25
  4. Step 4: Simplify right side
    452,318,211.75x = 959,899,078,064,299,392
  5. Step 5: Solve for x
    x = 959,899,078,064,299,392/452,318,211.75
  6. Step 6: Final answer
    x = 2,122,176,496.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.