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Finding the Third Proportional to 605,814 and 950,421

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Solution

The third proportional to 605,814 and 950,421 is: 1,491,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,814 : 950,421 = 950,421 : x
  2. Step 2: Convert to fraction form
    605,814/950,421 = 950,421/x
  3. Step 3: Cross multiply
    605,814x = 950,421 × 950,421
  4. Step 4: Simplify right side
    605,814x = 903,300,077,241
  5. Step 5: Solve for x
    x = 903,300,077,241/605,814
  6. Step 6: Final answer
    x = 1,491,051.84

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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.