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Finding the Third Proportional to 2,582,592 and 5,630,196

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Solution

The third proportional to 2,582,592 and 5,630,196 is: 12,274,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,592 : 5,630,196 = 5,630,196 : x
  2. Step 2: Convert to fraction form
    2,582,592/5,630,196 = 5,630,196/x
  3. Step 3: Cross multiply
    2,582,592x = 5,630,196 × 5,630,196
  4. Step 4: Simplify right side
    2,582,592x = 31,699,106,998,416
  5. Step 5: Solve for x
    x = 31,699,106,998,416/2,582,592
  6. Step 6: Final answer
    x = 12,274,144.35

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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.