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Finding the Third Proportional to 519,904 and 1,117,184

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Solution

The third proportional to 519,904 and 1,117,184 is: 2,400,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,904 : 1,117,184 = 1,117,184 : x
  2. Step 2: Convert to fraction form
    519,904/1,117,184 = 1,117,184/x
  3. Step 3: Cross multiply
    519,904x = 1,117,184 × 1,117,184
  4. Step 4: Simplify right side
    519,904x = 1,248,100,089,856
  5. Step 5: Solve for x
    x = 1,248,100,089,856/519,904
  6. Step 6: Final answer
    x = 2,400,635.67

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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.