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Finding the Third Proportional to 824,093.50 and 1,711,346.50

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Solution

The third proportional to 824,093.50 and 1,711,346.50 is: 3,553,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,093.50 : 1,711,346.50 = 1,711,346.50 : x
  2. Step 2: Convert to fraction form
    824,093.50/1,711,346.50 = 1,711,346.50/x
  3. Step 3: Cross multiply
    824,093.50x = 1,711,346.50 × 1,711,346.50
  4. Step 4: Simplify right side
    824,093.50x = 2,928,706,843,062.25
  5. Step 5: Solve for x
    x = 2,928,706,843,062.25/824,093.50
  6. Step 6: Final answer
    x = 3,553,852.62

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.