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Finding the Third Proportional to 672,204 and 1,406,724

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Solution

The third proportional to 672,204 and 1,406,724 is: 2,943,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,204 : 1,406,724 = 1,406,724 : x
  2. Step 2: Convert to fraction form
    672,204/1,406,724 = 1,406,724/x
  3. Step 3: Cross multiply
    672,204x = 1,406,724 × 1,406,724
  4. Step 4: Simplify right side
    672,204x = 1,978,872,412,176
  5. Step 5: Solve for x
    x = 1,978,872,412,176/672,204
  6. Step 6: Final answer
    x = 2,943,856.94

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.