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Finding the Third Proportional to 492,066 and 1,058,310

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Solution

The third proportional to 492,066 and 1,058,310 is: 2,276,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,066 : 1,058,310 = 1,058,310 : x
  2. Step 2: Convert to fraction form
    492,066/1,058,310 = 1,058,310/x
  3. Step 3: Cross multiply
    492,066x = 1,058,310 × 1,058,310
  4. Step 4: Simplify right side
    492,066x = 1,120,020,056,100
  5. Step 5: Solve for x
    x = 1,120,020,056,100/492,066
  6. Step 6: Final answer
    x = 2,276,158.19

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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.