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Finding the Third Proportional to 722,914 and 1,570,450

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Solution

The third proportional to 722,914 and 1,570,450 is: 3,411,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,914 : 1,570,450 = 1,570,450 : x
  2. Step 2: Convert to fraction form
    722,914/1,570,450 = 1,570,450/x
  3. Step 3: Cross multiply
    722,914x = 1,570,450 × 1,570,450
  4. Step 4: Simplify right side
    722,914x = 2,466,313,202,500
  5. Step 5: Solve for x
    x = 2,466,313,202,500/722,914
  6. Step 6: Final answer
    x = 3,411,627.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.