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Finding the Third Proportional to 458,795 and 1,079,580

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Solution

The third proportional to 458,795 and 1,079,580 is: 2,540,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,795 : 1,079,580 = 1,079,580 : x
  2. Step 2: Convert to fraction form
    458,795/1,079,580 = 1,079,580/x
  3. Step 3: Cross multiply
    458,795x = 1,079,580 × 1,079,580
  4. Step 4: Simplify right side
    458,795x = 1,165,492,976,400
  5. Step 5: Solve for x
    x = 1,165,492,976,400/458,795
  6. Step 6: Final answer
    x = 2,540,334.96

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