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Finding the Third Proportional to 1,699,906.50 and 2,530,738.69

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Solution

The third proportional to 1,699,906.50 and 2,530,738.69 is: 3,767,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,906.50 : 2,530,738.69 = 2,530,738.69 : x
  2. Step 2: Convert to fraction form
    1,699,906.50/2,530,738.69 = 2,530,738.69/x
  3. Step 3: Cross multiply
    1,699,906.50x = 2,530,738.69 × 2,530,738.69
  4. Step 4: Simplify right side
    1,699,906.50x = 6,404,638,304,409.22
  5. Step 5: Solve for x
    x = 6,404,638,304,409.22/1,699,906.50
  6. Step 6: Final answer
    x = 3,767,641.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.