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Finding the Third Proportional to 458,896 and 984,221

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Solution

The third proportional to 458,896 and 984,221 is: 2,110,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,896 : 984,221 = 984,221 : x
  2. Step 2: Convert to fraction form
    458,896/984,221 = 984,221/x
  3. Step 3: Cross multiply
    458,896x = 984,221 × 984,221
  4. Step 4: Simplify right side
    458,896x = 968,690,976,841
  5. Step 5: Solve for x
    x = 968,690,976,841/458,896
  6. Step 6: Final answer
    x = 2,110,916.15

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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.