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Finding the Third Proportional to 1,748,106 and 3,803,848

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Solution

The third proportional to 1,748,106 and 3,803,848 is: 8,277,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,106 : 3,803,848 = 3,803,848 : x
  2. Step 2: Convert to fraction form
    1,748,106/3,803,848 = 3,803,848/x
  3. Step 3: Cross multiply
    1,748,106x = 3,803,848 × 3,803,848
  4. Step 4: Simplify right side
    1,748,106x = 14,469,259,607,104
  5. Step 5: Solve for x
    x = 14,469,259,607,104/1,748,106
  6. Step 6: Final answer
    x = 8,277,106.54

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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.