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Finding the Third Proportional to 680,260 and 1,483,000

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Solution

The third proportional to 680,260 and 1,483,000 is: 3,233,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,260 : 1,483,000 = 1,483,000 : x
  2. Step 2: Convert to fraction form
    680,260/1,483,000 = 1,483,000/x
  3. Step 3: Cross multiply
    680,260x = 1,483,000 × 1,483,000
  4. Step 4: Simplify right side
    680,260x = 2,199,289,000,000
  5. Step 5: Solve for x
    x = 2,199,289,000,000/680,260
  6. Step 6: Final answer
    x = 3,233,012.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.