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Finding the Third Proportional to 536,413 and 810,086

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Solution

The third proportional to 536,413 and 810,086 is: 1,223,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,413 : 810,086 = 810,086 : x
  2. Step 2: Convert to fraction form
    536,413/810,086 = 810,086/x
  3. Step 3: Cross multiply
    536,413x = 810,086 × 810,086
  4. Step 4: Simplify right side
    536,413x = 656,239,327,396
  5. Step 5: Solve for x
    x = 656,239,327,396/536,413
  6. Step 6: Final answer
    x = 1,223,384.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.