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Finding the Third Proportional to 458,912 and 984,250

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Solution

The third proportional to 458,912 and 984,250 is: 2,110,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,912 : 984,250 = 984,250 : x
  2. Step 2: Convert to fraction form
    458,912/984,250 = 984,250/x
  3. Step 3: Cross multiply
    458,912x = 984,250 × 984,250
  4. Step 4: Simplify right side
    458,912x = 968,748,062,500
  5. Step 5: Solve for x
    x = 968,748,062,500/458,912
  6. Step 6: Final answer
    x = 2,110,966.94

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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.