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Finding the Third Proportional to 415,268,692 and 896,195,672

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Solution

The third proportional to 415,268,692 and 896,195,672 is: 1,934,089,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,268,692 : 896,195,672 = 896,195,672 : x
  2. Step 2: Convert to fraction form
    415,268,692/896,195,672 = 896,195,672/x
  3. Step 3: Cross multiply
    415,268,692x = 896,195,672 × 896,195,672
  4. Step 4: Simplify right side
    415,268,692x = 803,166,682,511,531,520
  5. Step 5: Solve for x
    x = 803,166,682,511,531,520/415,268,692
  6. Step 6: Final answer
    x = 1,934,089,176.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.