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Finding the Third Proportional to 535,782 and 810,561

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Solution

The third proportional to 535,782 and 810,561 is: 1,226,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,782 : 810,561 = 810,561 : x
  2. Step 2: Convert to fraction form
    535,782/810,561 = 810,561/x
  3. Step 3: Cross multiply
    535,782x = 810,561 × 810,561
  4. Step 4: Simplify right side
    535,782x = 657,009,134,721
  5. Step 5: Solve for x
    x = 657,009,134,721/535,782
  6. Step 6: Final answer
    x = 1,226,262.05

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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.