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Finding the Third Proportional to 458,030 and 983,884

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Solution

The third proportional to 458,030 and 983,884 is: 2,113,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,030 : 983,884 = 983,884 : x
  2. Step 2: Convert to fraction form
    458,030/983,884 = 983,884/x
  3. Step 3: Cross multiply
    458,030x = 983,884 × 983,884
  4. Step 4: Simplify right side
    458,030x = 968,027,725,456
  5. Step 5: Solve for x
    x = 968,027,725,456/458,030
  6. Step 6: Final answer
    x = 2,113,459.22

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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.