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Finding the Third Proportional to 3,409,201 and 7,575,144

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Solution

The third proportional to 3,409,201 and 7,575,144 is: 16,831,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,201 : 7,575,144 = 7,575,144 : x
  2. Step 2: Convert to fraction form
    3,409,201/7,575,144 = 7,575,144/x
  3. Step 3: Cross multiply
    3,409,201x = 7,575,144 × 7,575,144
  4. Step 4: Simplify right side
    3,409,201x = 57,382,806,620,736
  5. Step 5: Solve for x
    x = 57,382,806,620,736/3,409,201
  6. Step 6: Final answer
    x = 16,831,746.39

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.