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Finding the Third Proportional to 2,588,904 and 5,632,320

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Solution

The third proportional to 2,588,904 and 5,632,320 is: 12,253,458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588,904 : 5,632,320 = 5,632,320 : x
  2. Step 2: Convert to fraction form
    2,588,904/5,632,320 = 5,632,320/x
  3. Step 3: Cross multiply
    2,588,904x = 5,632,320 × 5,632,320
  4. Step 4: Simplify right side
    2,588,904x = 31,723,028,582,400
  5. Step 5: Solve for x
    x = 31,723,028,582,400/2,588,904
  6. Step 6: Final answer
    x = 12,253,458.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.