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Finding the Third Proportional to 598,512 and 1,281,096

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Solution

The third proportional to 598,512 and 1,281,096 is: 2,742,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,512 : 1,281,096 = 1,281,096 : x
  2. Step 2: Convert to fraction form
    598,512/1,281,096 = 1,281,096/x
  3. Step 3: Cross multiply
    598,512x = 1,281,096 × 1,281,096
  4. Step 4: Simplify right side
    598,512x = 1,641,206,961,216
  5. Step 5: Solve for x
    x = 1,641,206,961,216/598,512
  6. Step 6: Final answer
    x = 2,742,145.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.