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Finding the Third Proportional to 458,925.75 and 984,286.69

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Solution

The third proportional to 458,925.75 and 984,286.69 is: 2,111,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,925.75 : 984,286.69 = 984,286.69 : x
  2. Step 2: Convert to fraction form
    458,925.75/984,286.69 = 984,286.69/x
  3. Step 3: Cross multiply
    458,925.75x = 984,286.69 × 984,286.69
  4. Step 4: Simplify right side
    458,925.75x = 968,820,283,189.72
  5. Step 5: Solve for x
    x = 968,820,283,189.72/458,925.75
  6. Step 6: Final answer
    x = 2,111,061.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.