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Finding the Third Proportional to 1,379,457 and 2,969,738

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Solution

The third proportional to 1,379,457 and 2,969,738 is: 6,393,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379,457 : 2,969,738 = 2,969,738 : x
  2. Step 2: Convert to fraction form
    1,379,457/2,969,738 = 2,969,738/x
  3. Step 3: Cross multiply
    1,379,457x = 2,969,738 × 2,969,738
  4. Step 4: Simplify right side
    1,379,457x = 8,819,343,788,644
  5. Step 5: Solve for x
    x = 8,819,343,788,644/1,379,457
  6. Step 6: Final answer
    x = 6,393,344.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.