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Finding the Third Proportional to 693,942.75 and 1,035,157.50

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Solution

The third proportional to 693,942.75 and 1,035,157.50 is: 1,544,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,942.75 : 1,035,157.50 = 1,035,157.50 : x
  2. Step 2: Convert to fraction form
    693,942.75/1,035,157.50 = 1,035,157.50/x
  3. Step 3: Cross multiply
    693,942.75x = 1,035,157.50 × 1,035,157.50
  4. Step 4: Simplify right side
    693,942.75x = 1,071,551,049,806.25
  5. Step 5: Solve for x
    x = 1,071,551,049,806.25/693,942.75
  6. Step 6: Final answer
    x = 1,544,149.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.