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Finding the Third Proportional to 605,837 and 950,457

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Solution

The third proportional to 605,837 and 950,457 is: 1,491,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,837 : 950,457 = 950,457 : x
  2. Step 2: Convert to fraction form
    605,837/950,457 = 950,457/x
  3. Step 3: Cross multiply
    605,837x = 950,457 × 950,457
  4. Step 4: Simplify right side
    605,837x = 903,368,508,849
  5. Step 5: Solve for x
    x = 903,368,508,849/605,837
  6. Step 6: Final answer
    x = 1,491,108.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.