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Finding the Third Proportional to 774,427.50 and 1,641,168

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Solution

The third proportional to 774,427.50 and 1,641,168 is: 3,477,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,427.50 : 1,641,168 = 1,641,168 : x
  2. Step 2: Convert to fraction form
    774,427.50/1,641,168 = 1,641,168/x
  3. Step 3: Cross multiply
    774,427.50x = 1,641,168 × 1,641,168
  4. Step 4: Simplify right side
    774,427.50x = 2,693,432,404,224
  5. Step 5: Solve for x
    x = 2,693,432,404,224/774,427.50
  6. Step 6: Final answer
    x = 3,477,965.86

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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.