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Finding the Third Proportional to 1,407,134 and 3,033,211

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Solution

The third proportional to 1,407,134 and 3,033,211 is: 6,538,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,134 : 3,033,211 = 3,033,211 : x
  2. Step 2: Convert to fraction form
    1,407,134/3,033,211 = 3,033,211/x
  3. Step 3: Cross multiply
    1,407,134x = 3,033,211 × 3,033,211
  4. Step 4: Simplify right side
    1,407,134x = 9,200,368,970,521
  5. Step 5: Solve for x
    x = 9,200,368,970,521/1,407,134
  6. Step 6: Final answer
    x = 6,538,374.43

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