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Finding the Third Proportional to 774,779.25 and 1,643,346.75

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Solution

The third proportional to 774,779.25 and 1,643,346.75 is: 3,485,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,779.25 : 1,643,346.75 = 1,643,346.75 : x
  2. Step 2: Convert to fraction form
    774,779.25/1,643,346.75 = 1,643,346.75/x
  3. Step 3: Cross multiply
    774,779.25x = 1,643,346.75 × 1,643,346.75
  4. Step 4: Simplify right side
    774,779.25x = 2,700,588,540,735.56
  5. Step 5: Solve for x
    x = 2,700,588,540,735.56/774,779.25
  6. Step 6: Final answer
    x = 3,485,623.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.