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Finding the Third Proportional to 1,745,993 and 3,767,221

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Solution

The third proportional to 1,745,993 and 3,767,221 is: 8,128,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,993 : 3,767,221 = 3,767,221 : x
  2. Step 2: Convert to fraction form
    1,745,993/3,767,221 = 3,767,221/x
  3. Step 3: Cross multiply
    1,745,993x = 3,767,221 × 3,767,221
  4. Step 4: Simplify right side
    1,745,993x = 14,191,954,062,841
  5. Step 5: Solve for x
    x = 14,191,954,062,841/1,745,993
  6. Step 6: Final answer
    x = 8,128,299.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.