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Finding the Third Proportional to 3,542,662 and 4,971,057

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Solution

The third proportional to 3,542,662 and 4,971,057 is: 6,975,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,662 : 4,971,057 = 4,971,057 : x
  2. Step 2: Convert to fraction form
    3,542,662/4,971,057 = 4,971,057/x
  3. Step 3: Cross multiply
    3,542,662x = 4,971,057 × 4,971,057
  4. Step 4: Simplify right side
    3,542,662x = 24,711,407,697,249
  5. Step 5: Solve for x
    x = 24,711,407,697,249/3,542,662
  6. Step 6: Final answer
    x = 6,975,378.32

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Why These Related Problems?

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