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Finding the Third Proportional to 433,223 and 966,057

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Solution

The third proportional to 433,223 and 966,057 is: 2,154,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,223 : 966,057 = 966,057 : x
  2. Step 2: Convert to fraction form
    433,223/966,057 = 966,057/x
  3. Step 3: Cross multiply
    433,223x = 966,057 × 966,057
  4. Step 4: Simplify right side
    433,223x = 933,266,127,249
  5. Step 5: Solve for x
    x = 933,266,127,249/433,223
  6. Step 6: Final answer
    x = 2,154,239.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.