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Finding the Third Proportional to 1,704,528.35 and 3,679,446.73

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Solution

The third proportional to 1,704,528.35 and 3,679,446.73 is: 7,942,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,528.35 : 3,679,446.73 = 3,679,446.73 : x
  2. Step 2: Convert to fraction form
    1,704,528.35/3,679,446.73 = 3,679,446.73/x
  3. Step 3: Cross multiply
    1,704,528.35x = 3,679,446.73 × 3,679,446.73
  4. Step 4: Simplify right side
    1,704,528.35x = 13,538,328,213,611.50
  5. Step 5: Solve for x
    x = 13,538,328,213,611.50/1,704,528.35
  6. Step 6: Final answer
    x = 7,942,565.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.