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Finding the Third Proportional to 535,948 and 853,122

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Solution

The third proportional to 535,948 and 853,122 is: 1,357,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,948 : 853,122 = 853,122 : x
  2. Step 2: Convert to fraction form
    535,948/853,122 = 853,122/x
  3. Step 3: Cross multiply
    535,948x = 853,122 × 853,122
  4. Step 4: Simplify right side
    535,948x = 727,817,146,884
  5. Step 5: Solve for x
    x = 727,817,146,884/535,948
  6. Step 6: Final answer
    x = 1,357,999.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.