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Finding the Third Proportional to 680,764.50 and 1,466,558.16

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Solution

The third proportional to 680,764.50 and 1,466,558.16 is: 3,159,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,764.50 : 1,466,558.16 = 1,466,558.16 : x
  2. Step 2: Convert to fraction form
    680,764.50/1,466,558.16 = 1,466,558.16/x
  3. Step 3: Cross multiply
    680,764.50x = 1,466,558.16 × 1,466,558.16
  4. Step 4: Simplify right side
    680,764.50x = 2,150,792,825,663.40
  5. Step 5: Solve for x
    x = 2,150,792,825,663.40/680,764.50
  6. Step 6: Final answer
    x = 3,159,378.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.