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Finding the Third Proportional to 480,494,619 and 1,049,064,096

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Solution

The third proportional to 480,494,619 and 1,049,064,096 is: 2,290,422,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,494,619 : 1,049,064,096 = 1,049,064,096 : x
  2. Step 2: Convert to fraction form
    480,494,619/1,049,064,096 = 1,049,064,096/x
  3. Step 3: Cross multiply
    480,494,619x = 1,049,064,096 × 1,049,064,096
  4. Step 4: Simplify right side
    480,494,619x = 1,100,535,477,516,297,216
  5. Step 5: Solve for x
    x = 1,100,535,477,516,297,216/480,494,619
  6. Step 6: Final answer
    x = 2,290,422,065.09

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