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Finding the Third Proportional to 435,324,532 and 665,647,624

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Solution

The third proportional to 435,324,532 and 665,647,624 is: 1,017,830,898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,324,532 : 665,647,624 = 665,647,624 : x
  2. Step 2: Convert to fraction form
    435,324,532/665,647,624 = 665,647,624/x
  3. Step 3: Cross multiply
    435,324,532x = 665,647,624 × 665,647,624
  4. Step 4: Simplify right side
    435,324,532x = 443,086,759,336,845,376
  5. Step 5: Solve for x
    x = 443,086,759,336,845,376/435,324,532
  6. Step 6: Final answer
    x = 1,017,830,898.02

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