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Finding the Third Proportional to 691,173 and 1,072,723.50

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Solution

The third proportional to 691,173 and 1,072,723.50 is: 1,664,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,173 : 1,072,723.50 = 1,072,723.50 : x
  2. Step 2: Convert to fraction form
    691,173/1,072,723.50 = 1,072,723.50/x
  3. Step 3: Cross multiply
    691,173x = 1,072,723.50 × 1,072,723.50
  4. Step 4: Simplify right side
    691,173x = 1,150,735,707,452.25
  5. Step 5: Solve for x
    x = 1,150,735,707,452.25/691,173
  6. Step 6: Final answer
    x = 1,664,902.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.