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Finding the Third Proportional to 458,867 and 993,332

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Solution

The third proportional to 458,867 and 993,332 is: 2,150,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,867 : 993,332 = 993,332 : x
  2. Step 2: Convert to fraction form
    458,867/993,332 = 993,332/x
  3. Step 3: Cross multiply
    458,867x = 993,332 × 993,332
  4. Step 4: Simplify right side
    458,867x = 986,708,462,224
  5. Step 5: Solve for x
    x = 986,708,462,224/458,867
  6. Step 6: Final answer
    x = 2,150,314.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.