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Finding the Third Proportional to 1,416,414 and 3,069,084

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Solution

The third proportional to 1,416,414 and 3,069,084 is: 6,650,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416,414 : 3,069,084 = 3,069,084 : x
  2. Step 2: Convert to fraction form
    1,416,414/3,069,084 = 3,069,084/x
  3. Step 3: Cross multiply
    1,416,414x = 3,069,084 × 3,069,084
  4. Step 4: Simplify right side
    1,416,414x = 9,419,276,599,056
  5. Step 5: Solve for x
    x = 9,419,276,599,056/1,416,414
  6. Step 6: Final answer
    x = 6,650,087.19

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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.