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Finding the Third Proportional to 452,133 and 966,449

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Solution

The third proportional to 452,133 and 966,449 is: 2,065,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,133 : 966,449 = 966,449 : x
  2. Step 2: Convert to fraction form
    452,133/966,449 = 966,449/x
  3. Step 3: Cross multiply
    452,133x = 966,449 × 966,449
  4. Step 4: Simplify right side
    452,133x = 934,023,669,601
  5. Step 5: Solve for x
    x = 934,023,669,601/452,133
  6. Step 6: Final answer
    x = 2,065,816.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.