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Finding the Third Proportional to 492,598.97 and 1,058,859.84

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Solution

The third proportional to 492,598.97 and 1,058,859.84 is: 2,276,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,598.97 : 1,058,859.84 = 1,058,859.84 : x
  2. Step 2: Convert to fraction form
    492,598.97/1,058,859.84 = 1,058,859.84/x
  3. Step 3: Cross multiply
    492,598.97x = 1,058,859.84 × 1,058,859.84
  4. Step 4: Simplify right side
    492,598.97x = 1,121,184,168,706.27
  5. Step 5: Solve for x
    x = 1,121,184,168,706.27/492,598.97
  6. Step 6: Final answer
    x = 2,276,058.70

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