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Finding the Third Proportional to 505,824 and 1,058,415

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Solution

The third proportional to 505,824 and 1,058,415 is: 2,214,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,824 : 1,058,415 = 1,058,415 : x
  2. Step 2: Convert to fraction form
    505,824/1,058,415 = 1,058,415/x
  3. Step 3: Cross multiply
    505,824x = 1,058,415 × 1,058,415
  4. Step 4: Simplify right side
    505,824x = 1,120,242,312,225
  5. Step 5: Solve for x
    x = 1,120,242,312,225/505,824
  6. Step 6: Final answer
    x = 2,214,687.94

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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.