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Finding the Third Proportional to 1,958,125.32 and 2,993,469.06

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Solution

The third proportional to 1,958,125.32 and 2,993,469.06 is: 4,576,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958,125.32 : 2,993,469.06 = 2,993,469.06 : x
  2. Step 2: Convert to fraction form
    1,958,125.32/2,993,469.06 = 2,993,469.06/x
  3. Step 3: Cross multiply
    1,958,125.32x = 2,993,469.06 × 2,993,469.06
  4. Step 4: Simplify right side
    1,958,125.32x = 8,960,857,039,838.32
  5. Step 5: Solve for x
    x = 8,960,857,039,838.32/1,958,125.32
  6. Step 6: Final answer
    x = 4,576,242.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.