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Finding the Third Proportional to 2,622,148 and 5,705,752

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Solution

The third proportional to 2,622,148 and 5,705,752 is: 12,415,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622,148 : 5,705,752 = 5,705,752 : x
  2. Step 2: Convert to fraction form
    2,622,148/5,705,752 = 5,705,752/x
  3. Step 3: Cross multiply
    2,622,148x = 5,705,752 × 5,705,752
  4. Step 4: Simplify right side
    2,622,148x = 32,555,605,885,504
  5. Step 5: Solve for x
    x = 32,555,605,885,504/2,622,148
  6. Step 6: Final answer
    x = 12,415,624.86

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Why These Related Problems?

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