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Finding the Third Proportional to 2,948,184 and 6,429,996

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Solution

The third proportional to 2,948,184 and 6,429,996 is: 14,023,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,184 : 6,429,996 = 6,429,996 : x
  2. Step 2: Convert to fraction form
    2,948,184/6,429,996 = 6,429,996/x
  3. Step 3: Cross multiply
    2,948,184x = 6,429,996 × 6,429,996
  4. Step 4: Simplify right side
    2,948,184x = 41,344,848,560,016
  5. Step 5: Solve for x
    x = 41,344,848,560,016/2,948,184
  6. Step 6: Final answer
    x = 14,023,835.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.