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Finding the Third Proportional to 2,044,378 and 4,460,093

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Solution

The third proportional to 2,044,378 and 4,460,093 is: 9,730,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,378 : 4,460,093 = 4,460,093 : x
  2. Step 2: Convert to fraction form
    2,044,378/4,460,093 = 4,460,093/x
  3. Step 3: Cross multiply
    2,044,378x = 4,460,093 × 4,460,093
  4. Step 4: Simplify right side
    2,044,378x = 19,892,429,568,649
  5. Step 5: Solve for x
    x = 19,892,429,568,649/2,044,378
  6. Step 6: Final answer
    x = 9,730,308.96

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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.