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Finding the Third Proportional to 458,520.75 and 1,078,880.06

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Solution

The third proportional to 458,520.75 and 1,078,880.06 is: 2,538,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,520.75 : 1,078,880.06 = 1,078,880.06 : x
  2. Step 2: Convert to fraction form
    458,520.75/1,078,880.06 = 1,078,880.06/x
  3. Step 3: Cross multiply
    458,520.75x = 1,078,880.06 × 1,078,880.06
  4. Step 4: Simplify right side
    458,520.75x = 1,163,982,189,260.00
  5. Step 5: Solve for x
    x = 1,163,982,189,260.00/458,520.75
  6. Step 6: Final answer
    x = 2,538,559.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.