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Finding the Third Proportional to 582,764 and 900,021

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Solution

The third proportional to 582,764 and 900,021 is: 1,389,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,764 : 900,021 = 900,021 : x
  2. Step 2: Convert to fraction form
    582,764/900,021 = 900,021/x
  3. Step 3: Cross multiply
    582,764x = 900,021 × 900,021
  4. Step 4: Simplify right side
    582,764x = 810,037,800,441
  5. Step 5: Solve for x
    x = 810,037,800,441/582,764
  6. Step 6: Final answer
    x = 1,389,992.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.