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Finding the Third Proportional to 598,169 and 1,290,258

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Solution

The third proportional to 598,169 and 1,290,258 is: 2,783,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,169 : 1,290,258 = 1,290,258 : x
  2. Step 2: Convert to fraction form
    598,169/1,290,258 = 1,290,258/x
  3. Step 3: Cross multiply
    598,169x = 1,290,258 × 1,290,258
  4. Step 4: Simplify right side
    598,169x = 1,664,765,706,564
  5. Step 5: Solve for x
    x = 1,664,765,706,564/598,169
  6. Step 6: Final answer
    x = 2,783,102.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.