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Finding the Third Proportional to 483,162 and 1,024,796

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Solution

The third proportional to 483,162 and 1,024,796 is: 2,173,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,162 : 1,024,796 = 1,024,796 : x
  2. Step 2: Convert to fraction form
    483,162/1,024,796 = 1,024,796/x
  3. Step 3: Cross multiply
    483,162x = 1,024,796 × 1,024,796
  4. Step 4: Simplify right side
    483,162x = 1,050,206,841,616
  5. Step 5: Solve for x
    x = 1,050,206,841,616/483,162
  6. Step 6: Final answer
    x = 2,173,612.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.