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Finding the Third Proportional to 535,684 and 810,438

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Solution

The third proportional to 535,684 and 810,438 is: 1,226,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,684 : 810,438 = 810,438 : x
  2. Step 2: Convert to fraction form
    535,684/810,438 = 810,438/x
  3. Step 3: Cross multiply
    535,684x = 810,438 × 810,438
  4. Step 4: Simplify right side
    535,684x = 656,809,751,844
  5. Step 5: Solve for x
    x = 656,809,751,844/535,684
  6. Step 6: Final answer
    x = 1,226,114.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.