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Finding the Third Proportional to 492,437 and 1,058,438

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Solution

The third proportional to 492,437 and 1,058,438 is: 2,274,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,437 : 1,058,438 = 1,058,438 : x
  2. Step 2: Convert to fraction form
    492,437/1,058,438 = 1,058,438/x
  3. Step 3: Cross multiply
    492,437x = 1,058,438 × 1,058,438
  4. Step 4: Simplify right side
    492,437x = 1,120,290,999,844
  5. Step 5: Solve for x
    x = 1,120,290,999,844/492,437
  6. Step 6: Final answer
    x = 2,274,993.55

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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.