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Finding the Third Proportional to 433,955 and 889,050

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Solution

The third proportional to 433,955 and 889,050 is: 1,821,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,955 : 889,050 = 889,050 : x
  2. Step 2: Convert to fraction form
    433,955/889,050 = 889,050/x
  3. Step 3: Cross multiply
    433,955x = 889,050 × 889,050
  4. Step 4: Simplify right side
    433,955x = 790,409,902,500
  5. Step 5: Solve for x
    x = 790,409,902,500/433,955
  6. Step 6: Final answer
    x = 1,821,409.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.