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Finding the Third Proportional to 1,832,180 and 2,409,308

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Solution

The third proportional to 1,832,180 and 2,409,308 is: 3,168,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,180 : 2,409,308 = 2,409,308 : x
  2. Step 2: Convert to fraction form
    1,832,180/2,409,308 = 2,409,308/x
  3. Step 3: Cross multiply
    1,832,180x = 2,409,308 × 2,409,308
  4. Step 4: Simplify right side
    1,832,180x = 5,804,765,038,864
  5. Step 5: Solve for x
    x = 5,804,765,038,864/1,832,180
  6. Step 6: Final answer
    x = 3,168,228.58

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.