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Finding the Third Proportional to 3,542,652 and 4,971,042

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Solution

The third proportional to 3,542,652 and 4,971,042 is: 6,975,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,652 : 4,971,042 = 4,971,042 : x
  2. Step 2: Convert to fraction form
    3,542,652/4,971,042 = 4,971,042/x
  3. Step 3: Cross multiply
    3,542,652x = 4,971,042 × 4,971,042
  4. Step 4: Simplify right side
    3,542,652x = 24,711,258,565,764
  5. Step 5: Solve for x
    x = 24,711,258,565,764/3,542,652
  6. Step 6: Final answer
    x = 6,975,355.91

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.