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Finding the Third Proportional to 1,416,138 and 3,068,580

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Solution

The third proportional to 1,416,138 and 3,068,580 is: 6,649,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,138 : 3,068,580 = 3,068,580 : x
  2. Step 2: Convert to fraction form
    1,416,138/3,068,580 = 3,068,580/x
  3. Step 3: Cross multiply
    1,416,138x = 3,068,580 × 3,068,580
  4. Step 4: Simplify right side
    1,416,138x = 9,416,183,216,400
  5. Step 5: Solve for x
    x = 9,416,183,216,400/1,416,138
  6. Step 6: Final answer
    x = 6,649,198.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.