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Finding the Third Proportional to 501,460 and 1,058,272

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Solution

The third proportional to 501,460 and 1,058,272 is: 2,233,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,460 : 1,058,272 = 1,058,272 : x
  2. Step 2: Convert to fraction form
    501,460/1,058,272 = 1,058,272/x
  3. Step 3: Cross multiply
    501,460x = 1,058,272 × 1,058,272
  4. Step 4: Simplify right side
    501,460x = 1,119,939,625,984
  5. Step 5: Solve for x
    x = 1,119,939,625,984/501,460
  6. Step 6: Final answer
    x = 2,233,357.85

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