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Finding the Third Proportional to 458,894 and 984,214

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Solution

The third proportional to 458,894 and 984,214 is: 2,110,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,894 : 984,214 = 984,214 : x
  2. Step 2: Convert to fraction form
    458,894/984,214 = 984,214/x
  3. Step 3: Cross multiply
    458,894x = 984,214 × 984,214
  4. Step 4: Simplify right side
    458,894x = 968,677,197,796
  5. Step 5: Solve for x
    x = 968,677,197,796/458,894
  6. Step 6: Final answer
    x = 2,110,895.32

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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.