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Finding the Third Proportional to 582,751 and 900,006

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Solution

The third proportional to 582,751 and 900,006 is: 1,389,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,751 : 900,006 = 900,006 : x
  2. Step 2: Convert to fraction form
    582,751/900,006 = 900,006/x
  3. Step 3: Cross multiply
    582,751x = 900,006 × 900,006
  4. Step 4: Simplify right side
    582,751x = 810,010,800,036
  5. Step 5: Solve for x
    x = 810,010,800,036/582,751
  6. Step 6: Final answer
    x = 1,389,977.54

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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.