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Finding the Third Proportional to 437,725,622 and 683,089,041

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Solution

The third proportional to 437,725,622 and 683,089,041 is: 1,065,988,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,725,622 : 683,089,041 = 683,089,041 : x
  2. Step 2: Convert to fraction form
    437,725,622/683,089,041 = 683,089,041/x
  3. Step 3: Cross multiply
    437,725,622x = 683,089,041 × 683,089,041
  4. Step 4: Simplify right side
    437,725,622x = 466,610,637,934,299,712
  5. Step 5: Solve for x
    x = 466,610,637,934,299,712/437,725,622
  6. Step 6: Final answer
    x = 1,065,988,862.62

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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.