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Finding the Third Proportional to 651,334.50 and 1,414,077

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Solution

The third proportional to 651,334.50 and 1,414,077 is: 3,070,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,334.50 : 1,414,077 = 1,414,077 : x
  2. Step 2: Convert to fraction form
    651,334.50/1,414,077 = 1,414,077/x
  3. Step 3: Cross multiply
    651,334.50x = 1,414,077 × 1,414,077
  4. Step 4: Simplify right side
    651,334.50x = 1,999,613,761,929
  5. Step 5: Solve for x
    x = 1,999,613,761,929/651,334.50
  6. Step 6: Final answer
    x = 3,070,025.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.