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Finding the Third Proportional to 595,164 and 1,322,762

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Solution

The third proportional to 595,164 and 1,322,762 is: 2,939,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,164 : 1,322,762 = 1,322,762 : x
  2. Step 2: Convert to fraction form
    595,164/1,322,762 = 1,322,762/x
  3. Step 3: Cross multiply
    595,164x = 1,322,762 × 1,322,762
  4. Step 4: Simplify right side
    595,164x = 1,749,699,308,644
  5. Step 5: Solve for x
    x = 1,749,699,308,644/595,164
  6. Step 6: Final answer
    x = 2,939,860.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.