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Finding the Third Proportional to 656,588,571.75 and 1,024,633,776.38

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Solution

The third proportional to 656,588,571.75 and 1,024,633,776.38 is: 1,598,983,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,588,571.75 : 1,024,633,776.38 = 1,024,633,776.38 : x
  2. Step 2: Convert to fraction form
    656,588,571.75/1,024,633,776.38 = 1,024,633,776.38/x
  3. Step 3: Cross multiply
    656,588,571.75x = 1,024,633,776.38 × 1,024,633,776.38
  4. Step 4: Simplify right side
    656,588,571.75x = 1,049,874,375,688,493,568
  5. Step 5: Solve for x
    x = 1,049,874,375,688,493,568/656,588,571.75
  6. Step 6: Final answer
    x = 1,598,983,626.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.