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Finding the Third Proportional to 2,057,529.50 and 3,056,489

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Solution

The third proportional to 2,057,529.50 and 3,056,489 is: 4,540,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,529.50 : 3,056,489 = 3,056,489 : x
  2. Step 2: Convert to fraction form
    2,057,529.50/3,056,489 = 3,056,489/x
  3. Step 3: Cross multiply
    2,057,529.50x = 3,056,489 × 3,056,489
  4. Step 4: Simplify right side
    2,057,529.50x = 9,342,125,007,121
  5. Step 5: Solve for x
    x = 9,342,125,007,121/2,057,529.50
  6. Step 6: Final answer
    x = 4,540,457.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.