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Finding the Third Proportional to 1,814,799 and 2,785,647

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Solution

The third proportional to 1,814,799 and 2,785,647 is: 4,275,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814,799 : 2,785,647 = 2,785,647 : x
  2. Step 2: Convert to fraction form
    1,814,799/2,785,647 = 2,785,647/x
  3. Step 3: Cross multiply
    1,814,799x = 2,785,647 × 2,785,647
  4. Step 4: Simplify right side
    1,814,799x = 7,759,829,208,609
  5. Step 5: Solve for x
    x = 7,759,829,208,609/1,814,799
  6. Step 6: Final answer
    x = 4,275,861.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.