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Finding the Third Proportional to 406,974 and 825,024

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Solution

The third proportional to 406,974 and 825,024 is: 1,672,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,974 : 825,024 = 825,024 : x
  2. Step 2: Convert to fraction form
    406,974/825,024 = 825,024/x
  3. Step 3: Cross multiply
    406,974x = 825,024 × 825,024
  4. Step 4: Simplify right side
    406,974x = 680,664,600,576
  5. Step 5: Solve for x
    x = 680,664,600,576/406,974
  6. Step 6: Final answer
    x = 1,672,501.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.