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Finding the Third Proportional to 4,328,021 and 6,754,062

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Solution

The third proportional to 4,328,021 and 6,754,062 is: 10,540,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328,021 : 6,754,062 = 6,754,062 : x
  2. Step 2: Convert to fraction form
    4,328,021/6,754,062 = 6,754,062/x
  3. Step 3: Cross multiply
    4,328,021x = 6,754,062 × 6,754,062
  4. Step 4: Simplify right side
    4,328,021x = 45,617,353,499,844
  5. Step 5: Solve for x
    x = 45,617,353,499,844/4,328,021
  6. Step 6: Final answer
    x = 10,540,002.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.