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Finding the Third Proportional to 734,953.50 and 1,729,215

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Solution

The third proportional to 734,953.50 and 1,729,215 is: 4,068,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,953.50 : 1,729,215 = 1,729,215 : x
  2. Step 2: Convert to fraction form
    734,953.50/1,729,215 = 1,729,215/x
  3. Step 3: Cross multiply
    734,953.50x = 1,729,215 × 1,729,215
  4. Step 4: Simplify right side
    734,953.50x = 2,990,184,516,225
  5. Step 5: Solve for x
    x = 2,990,184,516,225/734,953.50
  6. Step 6: Final answer
    x = 4,068,535.65

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.