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Finding the Third Proportional to 581,596 and 853,194

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Solution

The third proportional to 581,596 and 853,194 is: 1,251,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,596 : 853,194 = 853,194 : x
  2. Step 2: Convert to fraction form
    581,596/853,194 = 853,194/x
  3. Step 3: Cross multiply
    581,596x = 853,194 × 853,194
  4. Step 4: Simplify right side
    581,596x = 727,940,001,636
  5. Step 5: Solve for x
    x = 727,940,001,636/581,596
  6. Step 6: Final answer
    x = 1,251,624.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.