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Finding the Third Proportional to 597,021 and 1,311,329

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Solution

The third proportional to 597,021 and 1,311,329 is: 2,880,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,021 : 1,311,329 = 1,311,329 : x
  2. Step 2: Convert to fraction form
    597,021/1,311,329 = 1,311,329/x
  3. Step 3: Cross multiply
    597,021x = 1,311,329 × 1,311,329
  4. Step 4: Simplify right side
    597,021x = 1,719,583,746,241
  5. Step 5: Solve for x
    x = 1,719,583,746,241/597,021
  6. Step 6: Final answer
    x = 2,880,273.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.