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Finding the Third Proportional to 809,638.98 and 1,731,378.80

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Solution

The third proportional to 809,638.98 and 1,731,378.80 is: 3,702,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,638.98 : 1,731,378.80 = 1,731,378.80 : x
  2. Step 2: Convert to fraction form
    809,638.98/1,731,378.80 = 1,731,378.80/x
  3. Step 3: Cross multiply
    809,638.98x = 1,731,378.80 × 1,731,378.80
  4. Step 4: Simplify right side
    809,638.98x = 2,997,672,538,268.32
  5. Step 5: Solve for x
    x = 2,997,672,538,268.32/809,638.98
  6. Step 6: Final answer
    x = 3,702,480.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.