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Finding the Third Proportional to 1,689,913.13 and 3,757,660.88

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Solution

The third proportional to 1,689,913.13 and 3,757,660.88 is: 8,355,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,913.13 : 3,757,660.88 = 3,757,660.88 : x
  2. Step 2: Convert to fraction form
    1,689,913.13/3,757,660.88 = 3,757,660.88/x
  3. Step 3: Cross multiply
    1,689,913.13x = 3,757,660.88 × 3,757,660.88
  4. Step 4: Simplify right side
    1,689,913.13x = 14,120,015,251,505.77
  5. Step 5: Solve for x
    x = 14,120,015,251,505.77/1,689,913.13
  6. Step 6: Final answer
    x = 8,355,468.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.