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Finding the Third Proportional to 1,162,360 and 2,508,212

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Solution

The third proportional to 1,162,360 and 2,508,212 is: 5,412,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,360 : 2,508,212 = 2,508,212 : x
  2. Step 2: Convert to fraction form
    1,162,360/2,508,212 = 2,508,212/x
  3. Step 3: Cross multiply
    1,162,360x = 2,508,212 × 2,508,212
  4. Step 4: Simplify right side
    1,162,360x = 6,291,127,436,944
  5. Step 5: Solve for x
    x = 6,291,127,436,944/1,162,360
  6. Step 6: Final answer
    x = 5,412,374.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.