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Finding the Third Proportional to 2,621,470 and 3,541,774

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Solution

The third proportional to 2,621,470 and 3,541,774 is: 4,785,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621,470 : 3,541,774 = 3,541,774 : x
  2. Step 2: Convert to fraction form
    2,621,470/3,541,774 = 3,541,774/x
  3. Step 3: Cross multiply
    2,621,470x = 3,541,774 × 3,541,774
  4. Step 4: Simplify right side
    2,621,470x = 12,544,163,067,076
  5. Step 5: Solve for x
    x = 12,544,163,067,076/2,621,470
  6. Step 6: Final answer
    x = 4,785,163.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.