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Finding the Third Proportional to 680,751 and 1,466,534.25

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Solution

The third proportional to 680,751 and 1,466,534.25 is: 3,159,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,751 : 1,466,534.25 = 1,466,534.25 : x
  2. Step 2: Convert to fraction form
    680,751/1,466,534.25 = 1,466,534.25/x
  3. Step 3: Cross multiply
    680,751x = 1,466,534.25 × 1,466,534.25
  4. Step 4: Simplify right side
    680,751x = 2,150,722,706,423.06
  5. Step 5: Solve for x
    x = 2,150,722,706,423.06/680,751
  6. Step 6: Final answer
    x = 3,159,338.30

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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.