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Finding the Third Proportional to 422,649,714 and 920,332,236

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Solution

The third proportional to 422,649,714 and 920,332,236 is: 2,004,050,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,649,714 : 920,332,236 = 920,332,236 : x
  2. Step 2: Convert to fraction form
    422,649,714/920,332,236 = 920,332,236/x
  3. Step 3: Cross multiply
    422,649,714x = 920,332,236 × 920,332,236
  4. Step 4: Simplify right side
    422,649,714x = 847,011,424,620,759,680
  5. Step 5: Solve for x
    x = 847,011,424,620,759,680/422,649,714
  6. Step 6: Final answer
    x = 2,004,050,627.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.