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Finding the Third Proportional to 3,538,190 and 5,301,711

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Solution

The third proportional to 3,538,190 and 5,301,711 is: 7,944,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538,190 : 5,301,711 = 5,301,711 : x
  2. Step 2: Convert to fraction form
    3,538,190/5,301,711 = 5,301,711/x
  3. Step 3: Cross multiply
    3,538,190x = 5,301,711 × 5,301,711
  4. Step 4: Simplify right side
    3,538,190x = 28,108,139,527,521
  5. Step 5: Solve for x
    x = 28,108,139,527,521/3,538,190
  6. Step 6: Final answer
    x = 7,944,214.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.