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Finding the Third Proportional to 437,725,728 and 683,089,200

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Solution

The third proportional to 437,725,728 and 683,089,200 is: 1,065,989,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,725,728 : 683,089,200 = 683,089,200 : x
  2. Step 2: Convert to fraction form
    437,725,728/683,089,200 = 683,089,200/x
  3. Step 3: Cross multiply
    437,725,728x = 683,089,200 × 683,089,200
  4. Step 4: Simplify right side
    437,725,728x = 466,610,855,156,640,000
  5. Step 5: Solve for x
    x = 466,610,855,156,640,000/437,725,728
  6. Step 6: Final answer
    x = 1,065,989,100.73

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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.