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Finding the Third Proportional to 683,468 and 1,582,244

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Solution

The third proportional to 683,468 and 1,582,244 is: 3,662,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,468 : 1,582,244 = 1,582,244 : x
  2. Step 2: Convert to fraction form
    683,468/1,582,244 = 1,582,244/x
  3. Step 3: Cross multiply
    683,468x = 1,582,244 × 1,582,244
  4. Step 4: Simplify right side
    683,468x = 2,503,496,075,536
  5. Step 5: Solve for x
    x = 2,503,496,075,536/683,468
  6. Step 6: Final answer
    x = 3,662,930.93

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.