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Finding the Third Proportional to 1,693,850 and 3,633,364

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Solution

The third proportional to 1,693,850 and 3,633,364 is: 7,793,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,850 : 3,633,364 = 3,633,364 : x
  2. Step 2: Convert to fraction form
    1,693,850/3,633,364 = 3,633,364/x
  3. Step 3: Cross multiply
    1,693,850x = 3,633,364 × 3,633,364
  4. Step 4: Simplify right side
    1,693,850x = 13,201,333,956,496
  5. Step 5: Solve for x
    x = 13,201,333,956,496/1,693,850
  6. Step 6: Final answer
    x = 7,793,685.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.