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Finding the Third Proportional to 2,057,548.50 and 3,204,078

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Solution

The third proportional to 2,057,548.50 and 3,204,078 is: 4,989,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,548.50 : 3,204,078 = 3,204,078 : x
  2. Step 2: Convert to fraction form
    2,057,548.50/3,204,078 = 3,204,078/x
  3. Step 3: Cross multiply
    2,057,548.50x = 3,204,078 × 3,204,078
  4. Step 4: Simplify right side
    2,057,548.50x = 10,266,115,830,084
  5. Step 5: Solve for x
    x = 10,266,115,830,084/2,057,548.50
  6. Step 6: Final answer
    x = 4,989,489.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.