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Finding the Third Proportional to 510,066 and 1,056,978

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Solution

The third proportional to 510,066 and 1,056,978 is: 2,190,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,066 : 1,056,978 = 1,056,978 : x
  2. Step 2: Convert to fraction form
    510,066/1,056,978 = 1,056,978/x
  3. Step 3: Cross multiply
    510,066x = 1,056,978 × 1,056,978
  4. Step 4: Simplify right side
    510,066x = 1,117,202,492,484
  5. Step 5: Solve for x
    x = 1,117,202,492,484/510,066
  6. Step 6: Final answer
    x = 2,190,309.67

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.