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Finding the Third Proportional to 458,884 and 984,196.25

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Solution

The third proportional to 458,884 and 984,196.25 is: 2,110,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,884 : 984,196.25 = 984,196.25 : x
  2. Step 2: Convert to fraction form
    458,884/984,196.25 = 984,196.25/x
  3. Step 3: Cross multiply
    458,884x = 984,196.25 × 984,196.25
  4. Step 4: Simplify right side
    458,884x = 968,642,258,514.06
  5. Step 5: Solve for x
    x = 968,642,258,514.06/458,884
  6. Step 6: Final answer
    x = 2,110,865.18

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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.