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Finding the Third Proportional to 683,480 and 1,582,268

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Solution

The third proportional to 683,480 and 1,582,268 is: 3,662,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,480 : 1,582,268 = 1,582,268 : x
  2. Step 2: Convert to fraction form
    683,480/1,582,268 = 1,582,268/x
  3. Step 3: Cross multiply
    683,480x = 1,582,268 × 1,582,268
  4. Step 4: Simplify right side
    683,480x = 2,503,572,023,824
  5. Step 5: Solve for x
    x = 2,503,572,023,824/683,480
  6. Step 6: Final answer
    x = 3,662,977.74

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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.