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Finding the Third Proportional to 905,608,072 and 1,359,370,628

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Solution

The third proportional to 905,608,072 and 1,359,370,628 is: 2,040,494,736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,608,072 : 1,359,370,628 = 1,359,370,628 : x
  2. Step 2: Convert to fraction form
    905,608,072/1,359,370,628 = 1,359,370,628/x
  3. Step 3: Cross multiply
    905,608,072x = 1,359,370,628 × 1,359,370,628
  4. Step 4: Simplify right side
    905,608,072x = 1,847,888,504,269,114,368
  5. Step 5: Solve for x
    x = 1,847,888,504,269,114,368/905,608,072
  6. Step 6: Final answer
    x = 2,040,494,736.52

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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.