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Finding the Third Proportional to 644,976.75 and 1,401,895.50

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Solution

The third proportional to 644,976.75 and 1,401,895.50 is: 3,047,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,976.75 : 1,401,895.50 = 1,401,895.50 : x
  2. Step 2: Convert to fraction form
    644,976.75/1,401,895.50 = 1,401,895.50/x
  3. Step 3: Cross multiply
    644,976.75x = 1,401,895.50 × 1,401,895.50
  4. Step 4: Simplify right side
    644,976.75x = 1,965,310,992,920.25
  5. Step 5: Solve for x
    x = 1,965,310,992,920.25/644,976.75
  6. Step 6: Final answer
    x = 3,047,103.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.