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Finding the Third Proportional to 2,055,316 and 4,332,212

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Solution

The third proportional to 2,055,316 and 4,332,212 is: 9,131,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055,316 : 4,332,212 = 4,332,212 : x
  2. Step 2: Convert to fraction form
    2,055,316/4,332,212 = 4,332,212/x
  3. Step 3: Cross multiply
    2,055,316x = 4,332,212 × 4,332,212
  4. Step 4: Simplify right side
    2,055,316x = 18,768,060,812,944
  5. Step 5: Solve for x
    x = 18,768,060,812,944/2,055,316
  6. Step 6: Final answer
    x = 9,131,472.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.