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Finding the Third Proportional to 974,742.29 and 2,173,608.42

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Solution

The third proportional to 974,742.29 and 2,173,608.42 is: 4,846,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,742.29 : 2,173,608.42 = 2,173,608.42 : x
  2. Step 2: Convert to fraction form
    974,742.29/2,173,608.42 = 2,173,608.42/x
  3. Step 3: Cross multiply
    974,742.29x = 2,173,608.42 × 2,173,608.42
  4. Step 4: Simplify right side
    974,742.29x = 4,724,573,571,645.93
  5. Step 5: Solve for x
    x = 4,724,573,571,645.93/974,742.29
  6. Step 6: Final answer
    x = 4,846,997.62

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.