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Finding the Third Proportional to 580,824 and 1,258,163

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Solution

The third proportional to 580,824 and 1,258,163 is: 2,725,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,824 : 1,258,163 = 1,258,163 : x
  2. Step 2: Convert to fraction form
    580,824/1,258,163 = 1,258,163/x
  3. Step 3: Cross multiply
    580,824x = 1,258,163 × 1,258,163
  4. Step 4: Simplify right side
    580,824x = 1,582,974,134,569
  5. Step 5: Solve for x
    x = 1,582,974,134,569/580,824
  6. Step 6: Final answer
    x = 2,725,393.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.