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Finding the Third Proportional to 2,558,084 and 5,470,632

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Solution

The third proportional to 2,558,084 and 5,470,632 is: 11,699,308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558,084 : 5,470,632 = 5,470,632 : x
  2. Step 2: Convert to fraction form
    2,558,084/5,470,632 = 5,470,632/x
  3. Step 3: Cross multiply
    2,558,084x = 5,470,632 × 5,470,632
  4. Step 4: Simplify right side
    2,558,084x = 29,927,814,479,424
  5. Step 5: Solve for x
    x = 29,927,814,479,424/2,558,084
  6. Step 6: Final answer
    x = 11,699,308.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.