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Finding the Third Proportional to 3,686,270 and 5,529,405

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Solution

The third proportional to 3,686,270 and 5,529,405 is: 8,294,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,270 : 5,529,405 = 5,529,405 : x
  2. Step 2: Convert to fraction form
    3,686,270/5,529,405 = 5,529,405/x
  3. Step 3: Cross multiply
    3,686,270x = 5,529,405 × 5,529,405
  4. Step 4: Simplify right side
    3,686,270x = 30,574,319,654,025
  5. Step 5: Solve for x
    x = 30,574,319,654,025/3,686,270
  6. Step 6: Final answer
    x = 8,294,107.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.