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Finding the Third Proportional to 1,305,240 and 1,838,096

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Solution

The third proportional to 1,305,240 and 1,838,096 is: 2,588,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,240 : 1,838,096 = 1,838,096 : x
  2. Step 2: Convert to fraction form
    1,305,240/1,838,096 = 1,838,096/x
  3. Step 3: Cross multiply
    1,305,240x = 1,838,096 × 1,838,096
  4. Step 4: Simplify right side
    1,305,240x = 3,378,596,905,216
  5. Step 5: Solve for x
    x = 3,378,596,905,216/1,305,240
  6. Step 6: Final answer
    x = 2,588,487.10

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.