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Finding the Third Proportional to 536,344 and 1,117,184

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Solution

The third proportional to 536,344 and 1,117,184 is: 2,327,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,344 : 1,117,184 = 1,117,184 : x
  2. Step 2: Convert to fraction form
    536,344/1,117,184 = 1,117,184/x
  3. Step 3: Cross multiply
    536,344x = 1,117,184 × 1,117,184
  4. Step 4: Simplify right side
    536,344x = 1,248,100,089,856
  5. Step 5: Solve for x
    x = 1,248,100,089,856/536,344
  6. Step 6: Final answer
    x = 2,327,051.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.