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Finding the Third Proportional to 807,144 and 1,697,941.50

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Solution

The third proportional to 807,144 and 1,697,941.50 is: 3,571,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,144 : 1,697,941.50 = 1,697,941.50 : x
  2. Step 2: Convert to fraction form
    807,144/1,697,941.50 = 1,697,941.50/x
  3. Step 3: Cross multiply
    807,144x = 1,697,941.50 × 1,697,941.50
  4. Step 4: Simplify right side
    807,144x = 2,883,005,337,422.25
  5. Step 5: Solve for x
    x = 2,883,005,337,422.25/807,144
  6. Step 6: Final answer
    x = 3,571,859.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.