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Finding the Third Proportional to 584,604 and 856,170

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Solution

The third proportional to 584,604 and 856,170 is: 1,253,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,604 : 856,170 = 856,170 : x
  2. Step 2: Convert to fraction form
    584,604/856,170 = 856,170/x
  3. Step 3: Cross multiply
    584,604x = 856,170 × 856,170
  4. Step 4: Simplify right side
    584,604x = 733,027,068,900
  5. Step 5: Solve for x
    x = 733,027,068,900/584,604
  6. Step 6: Final answer
    x = 1,253,886.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.