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Finding the Third Proportional to 1,693,738 and 2,633,919

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Solution

The third proportional to 1,693,738 and 2,633,919 is: 4,095,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,738 : 2,633,919 = 2,633,919 : x
  2. Step 2: Convert to fraction form
    1,693,738/2,633,919 = 2,633,919/x
  3. Step 3: Cross multiply
    1,693,738x = 2,633,919 × 2,633,919
  4. Step 4: Simplify right side
    1,693,738x = 6,937,529,298,561
  5. Step 5: Solve for x
    x = 6,937,529,298,561/1,693,738
  6. Step 6: Final answer
    x = 4,095,987.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.