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Finding the Third Proportional to 2,946,841 and 6,441,500

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Solution

The third proportional to 2,946,841 and 6,441,500 is: 14,080,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,841 : 6,441,500 = 6,441,500 : x
  2. Step 2: Convert to fraction form
    2,946,841/6,441,500 = 6,441,500/x
  3. Step 3: Cross multiply
    2,946,841x = 6,441,500 × 6,441,500
  4. Step 4: Simplify right side
    2,946,841x = 41,492,922,250,000
  5. Step 5: Solve for x
    x = 41,492,922,250,000/2,946,841
  6. Step 6: Final answer
    x = 14,080,475.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.