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Finding the Third Proportional to 2,582,591 and 5,630,194

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Solution

The third proportional to 2,582,591 and 5,630,194 is: 12,274,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,591 : 5,630,194 = 5,630,194 : x
  2. Step 2: Convert to fraction form
    2,582,591/5,630,194 = 5,630,194/x
  3. Step 3: Cross multiply
    2,582,591x = 5,630,194 × 5,630,194
  4. Step 4: Simplify right side
    2,582,591x = 31,699,084,477,636
  5. Step 5: Solve for x
    x = 31,699,084,477,636/2,582,591
  6. Step 6: Final answer
    x = 12,274,140.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.