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Finding the Third Proportional to 634,449,720 and 969,908,328

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Solution

The third proportional to 634,449,720 and 969,908,328 is: 1,482,737,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,449,720 : 969,908,328 = 969,908,328 : x
  2. Step 2: Convert to fraction form
    634,449,720/969,908,328 = 969,908,328/x
  3. Step 3: Cross multiply
    634,449,720x = 969,908,328 × 969,908,328
  4. Step 4: Simplify right side
    634,449,720x = 940,722,164,723,755,520
  5. Step 5: Solve for x
    x = 940,722,164,723,755,520/634,449,720
  6. Step 6: Final answer
    x = 1,482,737,142.23

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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.