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Finding the Third Proportional to 684,546 and 1,412,724

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Solution

The third proportional to 684,546 and 1,412,724 is: 2,915,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,546 : 1,412,724 = 1,412,724 : x
  2. Step 2: Convert to fraction form
    684,546/1,412,724 = 1,412,724/x
  3. Step 3: Cross multiply
    684,546x = 1,412,724 × 1,412,724
  4. Step 4: Simplify right side
    684,546x = 1,995,789,100,176
  5. Step 5: Solve for x
    x = 1,995,789,100,176/684,546
  6. Step 6: Final answer
    x = 2,915,493.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.