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Finding the Third Proportional to 581,606 and 853,239

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Solution

The third proportional to 581,606 and 853,239 is: 1,251,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,606 : 853,239 = 853,239 : x
  2. Step 2: Convert to fraction form
    581,606/853,239 = 853,239/x
  3. Step 3: Cross multiply
    581,606x = 853,239 × 853,239
  4. Step 4: Simplify right side
    581,606x = 728,016,791,121
  5. Step 5: Solve for x
    x = 728,016,791,121/581,606
  6. Step 6: Final answer
    x = 1,251,735.35

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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.