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Finding the Third Proportional to 529,058 and 1,162,660

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Solution

The third proportional to 529,058 and 1,162,660 is: 2,555,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,058 : 1,162,660 = 1,162,660 : x
  2. Step 2: Convert to fraction form
    529,058/1,162,660 = 1,162,660/x
  3. Step 3: Cross multiply
    529,058x = 1,162,660 × 1,162,660
  4. Step 4: Simplify right side
    529,058x = 1,351,778,275,600
  5. Step 5: Solve for x
    x = 1,351,778,275,600/529,058
  6. Step 6: Final answer
    x = 2,555,066.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.