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Finding the Third Proportional to 683,482 and 1,582,273

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Solution

The third proportional to 683,482 and 1,582,273 is: 3,662,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,482 : 1,582,273 = 1,582,273 : x
  2. Step 2: Convert to fraction form
    683,482/1,582,273 = 1,582,273/x
  3. Step 3: Cross multiply
    683,482x = 1,582,273 × 1,582,273
  4. Step 4: Simplify right side
    683,482x = 2,503,587,846,529
  5. Step 5: Solve for x
    x = 2,503,587,846,529/683,482
  6. Step 6: Final answer
    x = 3,662,990.17

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Why These Related Problems?

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