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Finding the Third Proportional to 673,419 and 1,453,665

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Solution

The third proportional to 673,419 and 1,453,665 is: 3,137,930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,419 : 1,453,665 = 1,453,665 : x
  2. Step 2: Convert to fraction form
    673,419/1,453,665 = 1,453,665/x
  3. Step 3: Cross multiply
    673,419x = 1,453,665 × 1,453,665
  4. Step 4: Simplify right side
    673,419x = 2,113,141,932,225
  5. Step 5: Solve for x
    x = 2,113,141,932,225/673,419
  6. Step 6: Final answer
    x = 3,137,930.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.