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Finding the Third Proportional to 2,782,238 and 5,863,332

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Solution

The third proportional to 2,782,238 and 5,863,332 is: 12,356,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,238 : 5,863,332 = 5,863,332 : x
  2. Step 2: Convert to fraction form
    2,782,238/5,863,332 = 5,863,332/x
  3. Step 3: Cross multiply
    2,782,238x = 5,863,332 × 5,863,332
  4. Step 4: Simplify right side
    2,782,238x = 34,378,662,142,224
  5. Step 5: Solve for x
    x = 34,378,662,142,224/2,782,238
  6. Step 6: Final answer
    x = 12,356,477.82

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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.