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Finding the Third Proportional to 787,643.75 and 1,718,427.50

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Solution

The third proportional to 787,643.75 and 1,718,427.50 is: 3,749,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,643.75 : 1,718,427.50 = 1,718,427.50 : x
  2. Step 2: Convert to fraction form
    787,643.75/1,718,427.50 = 1,718,427.50/x
  3. Step 3: Cross multiply
    787,643.75x = 1,718,427.50 × 1,718,427.50
  4. Step 4: Simplify right side
    787,643.75x = 2,952,993,072,756.25
  5. Step 5: Solve for x
    x = 2,952,993,072,756.25/787,643.75
  6. Step 6: Final answer
    x = 3,749,148.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.