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Finding the Third Proportional to 595,392 and 859,104

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Solution

The third proportional to 595,392 and 859,104 is: 1,239,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,392 : 859,104 = 859,104 : x
  2. Step 2: Convert to fraction form
    595,392/859,104 = 859,104/x
  3. Step 3: Cross multiply
    595,392x = 859,104 × 859,104
  4. Step 4: Simplify right side
    595,392x = 738,059,682,816
  5. Step 5: Solve for x
    x = 738,059,682,816/595,392
  6. Step 6: Final answer
    x = 1,239,619.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.