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Finding the Third Proportional to 458,028 and 983,880

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Solution

The third proportional to 458,028 and 983,880 is: 2,113,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,028 : 983,880 = 983,880 : x
  2. Step 2: Convert to fraction form
    458,028/983,880 = 983,880/x
  3. Step 3: Cross multiply
    458,028x = 983,880 × 983,880
  4. Step 4: Simplify right side
    458,028x = 968,019,854,400
  5. Step 5: Solve for x
    x = 968,019,854,400/458,028
  6. Step 6: Final answer
    x = 2,113,451.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.