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Finding the Third Proportional to 863,143.50 and 1,306,710

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Solution

The third proportional to 863,143.50 and 1,306,710 is: 1,978,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,143.50 : 1,306,710 = 1,306,710 : x
  2. Step 2: Convert to fraction form
    863,143.50/1,306,710 = 1,306,710/x
  3. Step 3: Cross multiply
    863,143.50x = 1,306,710 × 1,306,710
  4. Step 4: Simplify right side
    863,143.50x = 1,707,491,024,100
  5. Step 5: Solve for x
    x = 1,707,491,024,100/863,143.50
  6. Step 6: Final answer
    x = 1,978,223.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.