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Finding the Third Proportional to 2,272,446 and 4,888,224

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Solution

The third proportional to 2,272,446 and 4,888,224 is: 10,514,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,446 : 4,888,224 = 4,888,224 : x
  2. Step 2: Convert to fraction form
    2,272,446/4,888,224 = 4,888,224/x
  3. Step 3: Cross multiply
    2,272,446x = 4,888,224 × 4,888,224
  4. Step 4: Simplify right side
    2,272,446x = 23,894,733,874,176
  5. Step 5: Solve for x
    x = 23,894,733,874,176/2,272,446
  6. Step 6: Final answer
    x = 10,514,984.24

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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.