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Finding the Third Proportional to 634,394 and 911,847

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Solution

The third proportional to 634,394 and 911,847 is: 1,310,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,394 : 911,847 = 911,847 : x
  2. Step 2: Convert to fraction form
    634,394/911,847 = 911,847/x
  3. Step 3: Cross multiply
    634,394x = 911,847 × 911,847
  4. Step 4: Simplify right side
    634,394x = 831,464,951,409
  5. Step 5: Solve for x
    x = 831,464,951,409/634,394
  6. Step 6: Final answer
    x = 1,310,644.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.