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Finding the Third Proportional to 863,141.50 and 1,306,707

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Solution

The third proportional to 863,141.50 and 1,306,707 is: 1,978,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,141.50 : 1,306,707 = 1,306,707 : x
  2. Step 2: Convert to fraction form
    863,141.50/1,306,707 = 1,306,707/x
  3. Step 3: Cross multiply
    863,141.50x = 1,306,707 × 1,306,707
  4. Step 4: Simplify right side
    863,141.50x = 1,707,483,183,849
  5. Step 5: Solve for x
    x = 1,707,483,183,849/863,141.50
  6. Step 6: Final answer
    x = 1,978,219.31

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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.