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Finding the Third Proportional to 2,183,778 and 4,725,252

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Solution

The third proportional to 2,183,778 and 4,725,252 is: 10,224,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,778 : 4,725,252 = 4,725,252 : x
  2. Step 2: Convert to fraction form
    2,183,778/4,725,252 = 4,725,252/x
  3. Step 3: Cross multiply
    2,183,778x = 4,725,252 × 4,725,252
  4. Step 4: Simplify right side
    2,183,778x = 22,328,006,463,504
  5. Step 5: Solve for x
    x = 22,328,006,463,504/2,183,778
  6. Step 6: Final answer
    x = 10,224,485.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.