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Finding the Third Proportional to 4,093,934 and 6,421,386

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Solution

The third proportional to 4,093,934 and 6,421,386 is: 10,072,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093,934 : 6,421,386 = 6,421,386 : x
  2. Step 2: Convert to fraction form
    4,093,934/6,421,386 = 6,421,386/x
  3. Step 3: Cross multiply
    4,093,934x = 6,421,386 × 6,421,386
  4. Step 4: Simplify right side
    4,093,934x = 41,234,198,160,996
  5. Step 5: Solve for x
    x = 41,234,198,160,996/4,093,934
  6. Step 6: Final answer
    x = 10,072,023.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.