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Finding the Third Proportional to 1,704,520.89 and 3,679,433.15

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Solution

The third proportional to 1,704,520.89 and 3,679,433.15 is: 7,942,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,520.89 : 3,679,433.15 = 3,679,433.15 : x
  2. Step 2: Convert to fraction form
    1,704,520.89/3,679,433.15 = 3,679,433.15/x
  3. Step 3: Cross multiply
    1,704,520.89x = 3,679,433.15 × 3,679,433.15
  4. Step 4: Simplify right side
    1,704,520.89x = 13,538,228,286,635.50
  5. Step 5: Solve for x
    x = 13,538,228,286,635.50/1,704,520.89
  6. Step 6: Final answer
    x = 7,942,541.72

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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.