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Finding the Third Proportional to 452,069 and 967,055

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Solution

The third proportional to 452,069 and 967,055 is: 2,068,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,069 : 967,055 = 967,055 : x
  2. Step 2: Convert to fraction form
    452,069/967,055 = 967,055/x
  3. Step 3: Cross multiply
    452,069x = 967,055 × 967,055
  4. Step 4: Simplify right side
    452,069x = 935,195,373,025
  5. Step 5: Solve for x
    x = 935,195,373,025/452,069
  6. Step 6: Final answer
    x = 2,068,700.51

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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.