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Finding the Third Proportional to 1,313,905 and 2,824,212

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Solution

The third proportional to 1,313,905 and 2,824,212 is: 6,070,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,905 : 2,824,212 = 2,824,212 : x
  2. Step 2: Convert to fraction form
    1,313,905/2,824,212 = 2,824,212/x
  3. Step 3: Cross multiply
    1,313,905x = 2,824,212 × 2,824,212
  4. Step 4: Simplify right side
    1,313,905x = 7,976,173,420,944
  5. Step 5: Solve for x
    x = 7,976,173,420,944/1,313,905
  6. Step 6: Final answer
    x = 6,070,586.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.