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Finding the Third Proportional to 605,840 and 950,460

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Solution

The third proportional to 605,840 and 950,460 is: 1,491,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,840 : 950,460 = 950,460 : x
  2. Step 2: Convert to fraction form
    605,840/950,460 = 950,460/x
  3. Step 3: Cross multiply
    605,840x = 950,460 × 950,460
  4. Step 4: Simplify right side
    605,840x = 903,374,211,600
  5. Step 5: Solve for x
    x = 903,374,211,600/605,840
  6. Step 6: Final answer
    x = 1,491,110.21

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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.