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Finding the Third Proportional to 746,298 and 1,632,219.50

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Solution

The third proportional to 746,298 and 1,632,219.50 is: 3,569,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,298 : 1,632,219.50 = 1,632,219.50 : x
  2. Step 2: Convert to fraction form
    746,298/1,632,219.50 = 1,632,219.50/x
  3. Step 3: Cross multiply
    746,298x = 1,632,219.50 × 1,632,219.50
  4. Step 4: Simplify right side
    746,298x = 2,664,140,496,180.25
  5. Step 5: Solve for x
    x = 2,664,140,496,180.25/746,298
  6. Step 6: Final answer
    x = 3,569,807.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.