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Finding the Third Proportional to 600,138 and 1,308,121

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Solution

The third proportional to 600,138 and 1,308,121 is: 2,851,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,138 : 1,308,121 = 1,308,121 : x
  2. Step 2: Convert to fraction form
    600,138/1,308,121 = 1,308,121/x
  3. Step 3: Cross multiply
    600,138x = 1,308,121 × 1,308,121
  4. Step 4: Simplify right side
    600,138x = 1,711,180,550,641
  5. Step 5: Solve for x
    x = 1,711,180,550,641/600,138
  6. Step 6: Final answer
    x = 2,851,311.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.