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Finding the Third Proportional to 1,590,688 and 2,409,198

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Solution

The third proportional to 1,590,688 and 2,409,198 is: 3,648,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,688 : 2,409,198 = 2,409,198 : x
  2. Step 2: Convert to fraction form
    1,590,688/2,409,198 = 2,409,198/x
  3. Step 3: Cross multiply
    1,590,688x = 2,409,198 × 2,409,198
  4. Step 4: Simplify right side
    1,590,688x = 5,804,235,003,204
  5. Step 5: Solve for x
    x = 5,804,235,003,204/1,590,688
  6. Step 6: Final answer
    x = 3,648,883.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.