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Finding the Third Proportional to 535,922 and 853,085

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Solution

The third proportional to 535,922 and 853,085 is: 1,357,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,922 : 853,085 = 853,085 : x
  2. Step 2: Convert to fraction form
    535,922/853,085 = 853,085/x
  3. Step 3: Cross multiply
    535,922x = 853,085 × 853,085
  4. Step 4: Simplify right side
    535,922x = 727,754,017,225
  5. Step 5: Solve for x
    x = 727,754,017,225/535,922
  6. Step 6: Final answer
    x = 1,357,947.64

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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.