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Finding the Third Proportional to 505,842 and 1,058,448

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Solution

The third proportional to 505,842 and 1,058,448 is: 2,214,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,842 : 1,058,448 = 1,058,448 : x
  2. Step 2: Convert to fraction form
    505,842/1,058,448 = 1,058,448/x
  3. Step 3: Cross multiply
    505,842x = 1,058,448 × 1,058,448
  4. Step 4: Simplify right side
    505,842x = 1,120,312,168,704
  5. Step 5: Solve for x
    x = 1,120,312,168,704/505,842
  6. Step 6: Final answer
    x = 2,214,747.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.