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Finding the Third Proportional to 2,448,216 and 5,302,992

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Solution

The third proportional to 2,448,216 and 5,302,992 is: 11,486,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448,216 : 5,302,992 = 5,302,992 : x
  2. Step 2: Convert to fraction form
    2,448,216/5,302,992 = 5,302,992/x
  3. Step 3: Cross multiply
    2,448,216x = 5,302,992 × 5,302,992
  4. Step 4: Simplify right side
    2,448,216x = 28,121,724,152,064
  5. Step 5: Solve for x
    x = 28,121,724,152,064/2,448,216
  6. Step 6: Final answer
    x = 11,486,618.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.