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Finding the Third Proportional to 535,682 and 810,435

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Solution

The third proportional to 535,682 and 810,435 is: 1,226,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,682 : 810,435 = 810,435 : x
  2. Step 2: Convert to fraction form
    535,682/810,435 = 810,435/x
  3. Step 3: Cross multiply
    535,682x = 810,435 × 810,435
  4. Step 4: Simplify right side
    535,682x = 656,804,889,225
  5. Step 5: Solve for x
    x = 656,804,889,225/535,682
  6. Step 6: Final answer
    x = 1,226,109.69

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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.