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Finding the Third Proportional to 501,456 and 1,058,263

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Solution

The third proportional to 501,456 and 1,058,263 is: 2,233,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,456 : 1,058,263 = 1,058,263 : x
  2. Step 2: Convert to fraction form
    501,456/1,058,263 = 1,058,263/x
  3. Step 3: Cross multiply
    501,456x = 1,058,263 × 1,058,263
  4. Step 4: Simplify right side
    501,456x = 1,119,920,577,169
  5. Step 5: Solve for x
    x = 1,119,920,577,169/501,456
  6. Step 6: Final answer
    x = 2,233,337.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.