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Finding the Third Proportional to 1,749,383.44 and 3,638,426.06

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Solution

The third proportional to 1,749,383.44 and 3,638,426.06 is: 7,567,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,383.44 : 3,638,426.06 = 3,638,426.06 : x
  2. Step 2: Convert to fraction form
    1,749,383.44/3,638,426.06 = 3,638,426.06/x
  3. Step 3: Cross multiply
    1,749,383.44x = 3,638,426.06 × 3,638,426.06
  4. Step 4: Simplify right side
    1,749,383.44x = 13,238,144,212,279.25
  5. Step 5: Solve for x
    x = 13,238,144,212,279.25/1,749,383.44
  6. Step 6: Final answer
    x = 7,567,319.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.