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Finding the Third Proportional to 3,569,760 and 5,438,313

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Solution

The third proportional to 3,569,760 and 5,438,313 is: 8,284,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569,760 : 5,438,313 = 5,438,313 : x
  2. Step 2: Convert to fraction form
    3,569,760/5,438,313 = 5,438,313/x
  3. Step 3: Cross multiply
    3,569,760x = 5,438,313 × 5,438,313
  4. Step 4: Simplify right side
    3,569,760x = 29,575,248,285,969
  5. Step 5: Solve for x
    x = 29,575,248,285,969/3,569,760
  6. Step 6: Final answer
    x = 8,284,940.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.