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Finding the Third Proportional to 613,944 and 1,258,317

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Solution

The third proportional to 613,944 and 1,258,317 is: 2,579,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,944 : 1,258,317 = 1,258,317 : x
  2. Step 2: Convert to fraction form
    613,944/1,258,317 = 1,258,317/x
  3. Step 3: Cross multiply
    613,944x = 1,258,317 × 1,258,317
  4. Step 4: Simplify right side
    613,944x = 1,583,361,672,489
  5. Step 5: Solve for x
    x = 1,583,361,672,489/613,944
  6. Step 6: Final answer
    x = 2,579,000.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.