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Finding the Third Proportional to 1,586,469 and 2,313,255

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Solution

The third proportional to 1,586,469 and 2,313,255 is: 3,372,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,469 : 2,313,255 = 2,313,255 : x
  2. Step 2: Convert to fraction form
    1,586,469/2,313,255 = 2,313,255/x
  3. Step 3: Cross multiply
    1,586,469x = 2,313,255 × 2,313,255
  4. Step 4: Simplify right side
    1,586,469x = 5,351,148,695,025
  5. Step 5: Solve for x
    x = 5,351,148,695,025/1,586,469
  6. Step 6: Final answer
    x = 3,372,992.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.