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Finding the Third Proportional to 459,144 and 973,866

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Solution

The third proportional to 459,144 and 973,866 is: 2,065,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,144 : 973,866 = 973,866 : x
  2. Step 2: Convert to fraction form
    459,144/973,866 = 973,866/x
  3. Step 3: Cross multiply
    459,144x = 973,866 × 973,866
  4. Step 4: Simplify right side
    459,144x = 948,414,985,956
  5. Step 5: Solve for x
    x = 948,414,985,956/459,144
  6. Step 6: Final answer
    x = 2,065,615.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.