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Finding the Third Proportional to 492,624 and 1,058,918

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Solution

The third proportional to 492,624 and 1,058,918 is: 2,276,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,624 : 1,058,918 = 1,058,918 : x
  2. Step 2: Convert to fraction form
    492,624/1,058,918 = 1,058,918/x
  3. Step 3: Cross multiply
    492,624x = 1,058,918 × 1,058,918
  4. Step 4: Simplify right side
    492,624x = 1,121,307,330,724
  5. Step 5: Solve for x
    x = 1,121,307,330,724/492,624
  6. Step 6: Final answer
    x = 2,276,193.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.