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Finding the Third Proportional to 437,725,706 and 683,089,170

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Solution

The third proportional to 437,725,706 and 683,089,170 is: 1,065,989,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,725,706 : 683,089,170 = 683,089,170 : x
  2. Step 2: Convert to fraction form
    437,725,706/683,089,170 = 683,089,170/x
  3. Step 3: Cross multiply
    437,725,706x = 683,089,170 × 683,089,170
  4. Step 4: Simplify right side
    437,725,706x = 466,610,814,171,288,896
  5. Step 5: Solve for x
    x = 466,610,814,171,288,896/437,725,706
  6. Step 6: Final answer
    x = 1,065,989,060.67

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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.