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Finding the Third Proportional to 2,214,540 and 4,829,301

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Solution

The third proportional to 2,214,540 and 4,829,301 is: 10,531,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,540 : 4,829,301 = 4,829,301 : x
  2. Step 2: Convert to fraction form
    2,214,540/4,829,301 = 4,829,301/x
  3. Step 3: Cross multiply
    2,214,540x = 4,829,301 × 4,829,301
  4. Step 4: Simplify right side
    2,214,540x = 23,322,148,148,601
  5. Step 5: Solve for x
    x = 23,322,148,148,601/2,214,540
  6. Step 6: Final answer
    x = 10,531,373.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.