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Finding the Third Proportional to 683,838 and 1,582,963

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Solution

The third proportional to 683,838 and 1,582,963 is: 3,664,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,838 : 1,582,963 = 1,582,963 : x
  2. Step 2: Convert to fraction form
    683,838/1,582,963 = 1,582,963/x
  3. Step 3: Cross multiply
    683,838x = 1,582,963 × 1,582,963
  4. Step 4: Simplify right side
    683,838x = 2,505,771,859,369
  5. Step 5: Solve for x
    x = 2,505,771,859,369/683,838
  6. Step 6: Final answer
    x = 3,664,277.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.