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Finding the Third Proportional to 897,437,136 and 1,342,568,232

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Solution

The third proportional to 897,437,136 and 1,342,568,232 is: 2,008,485,480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,437,136 : 1,342,568,232 = 1,342,568,232 : x
  2. Step 2: Convert to fraction form
    897,437,136/1,342,568,232 = 1,342,568,232/x
  3. Step 3: Cross multiply
    897,437,136x = 1,342,568,232 × 1,342,568,232
  4. Step 4: Simplify right side
    897,437,136x = 1,802,489,457,575,605,760
  5. Step 5: Solve for x
    x = 1,802,489,457,575,605,760/897,437,136
  6. Step 6: Final answer
    x = 2,008,485,480.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.