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Finding the Third Proportional to 598,818 and 1,276,028

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Solution

The third proportional to 598,818 and 1,276,028 is: 2,719,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,818 : 1,276,028 = 1,276,028 : x
  2. Step 2: Convert to fraction form
    598,818/1,276,028 = 1,276,028/x
  3. Step 3: Cross multiply
    598,818x = 1,276,028 × 1,276,028
  4. Step 4: Simplify right side
    598,818x = 1,628,247,456,784
  5. Step 5: Solve for x
    x = 1,628,247,456,784/598,818
  6. Step 6: Final answer
    x = 2,719,102.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.