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Finding the Third Proportional to 437,725,719 and 683,089,190

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Solution

The third proportional to 437,725,719 and 683,089,190 is: 1,065,989,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,725,719 : 683,089,190 = 683,089,190 : x
  2. Step 2: Convert to fraction form
    437,725,719/683,089,190 = 683,089,190/x
  3. Step 3: Cross multiply
    437,725,719x = 683,089,190 × 683,089,190
  4. Step 4: Simplify right side
    437,725,719x = 466,610,841,494,856,128
  5. Step 5: Solve for x
    x = 466,610,841,494,856,128/437,725,719
  6. Step 6: Final answer
    x = 1,065,989,091.44

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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.