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Finding the Third Proportional to 513,452 and 1,144,964

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Solution

The third proportional to 513,452 and 1,144,964 is: 2,553,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,452 : 1,144,964 = 1,144,964 : x
  2. Step 2: Convert to fraction form
    513,452/1,144,964 = 1,144,964/x
  3. Step 3: Cross multiply
    513,452x = 1,144,964 × 1,144,964
  4. Step 4: Simplify right side
    513,452x = 1,310,942,561,296
  5. Step 5: Solve for x
    x = 1,310,942,561,296/513,452
  6. Step 6: Final answer
    x = 2,553,193.99

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