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Finding the Third Proportional to 433,225 and 966,061

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Solution

The third proportional to 433,225 and 966,061 is: 2,154,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,225 : 966,061 = 966,061 : x
  2. Step 2: Convert to fraction form
    433,225/966,061 = 966,061/x
  3. Step 3: Cross multiply
    433,225x = 966,061 × 966,061
  4. Step 4: Simplify right side
    433,225x = 933,273,855,721
  5. Step 5: Solve for x
    x = 933,273,855,721/433,225
  6. Step 6: Final answer
    x = 2,154,247.46

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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.