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Finding the Third Proportional to 3,640,714 and 4,901,102

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Solution

The third proportional to 3,640,714 and 4,901,102 is: 6,597,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640,714 : 4,901,102 = 4,901,102 : x
  2. Step 2: Convert to fraction form
    3,640,714/4,901,102 = 4,901,102/x
  3. Step 3: Cross multiply
    3,640,714x = 4,901,102 × 4,901,102
  4. Step 4: Simplify right side
    3,640,714x = 24,020,800,814,404
  5. Step 5: Solve for x
    x = 24,020,800,814,404/3,640,714
  6. Step 6: Final answer
    x = 6,597,826.91

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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.