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Finding the Third Proportional to 584,090 and 853,169

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Solution

The third proportional to 584,090 and 853,169 is: 1,246,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,090 : 853,169 = 853,169 : x
  2. Step 2: Convert to fraction form
    584,090/853,169 = 853,169/x
  3. Step 3: Cross multiply
    584,090x = 853,169 × 853,169
  4. Step 4: Simplify right side
    584,090x = 727,897,342,561
  5. Step 5: Solve for x
    x = 727,897,342,561/584,090
  6. Step 6: Final answer
    x = 1,246,207.51

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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.