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Finding the Third Proportional to 2,675,874 and 3,814,516

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Solution

The third proportional to 2,675,874 and 3,814,516 is: 5,437,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,874 : 3,814,516 = 3,814,516 : x
  2. Step 2: Convert to fraction form
    2,675,874/3,814,516 = 3,814,516/x
  3. Step 3: Cross multiply
    2,675,874x = 3,814,516 × 3,814,516
  4. Step 4: Simplify right side
    2,675,874x = 14,550,532,314,256
  5. Step 5: Solve for x
    x = 14,550,532,314,256/2,675,874
  6. Step 6: Final answer
    x = 5,437,674.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.