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Finding the Third Proportional to 578,652 and 889,968

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Solution

The third proportional to 578,652 and 889,968 is: 1,368,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,652 : 889,968 = 889,968 : x
  2. Step 2: Convert to fraction form
    578,652/889,968 = 889,968/x
  3. Step 3: Cross multiply
    578,652x = 889,968 × 889,968
  4. Step 4: Simplify right side
    578,652x = 792,043,041,024
  5. Step 5: Solve for x
    x = 792,043,041,024/578,652
  6. Step 6: Final answer
    x = 1,368,772.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.