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Finding the Third Proportional to 689,886 and 1,484,694

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Solution

The third proportional to 689,886 and 1,484,694 is: 3,195,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,886 : 1,484,694 = 1,484,694 : x
  2. Step 2: Convert to fraction form
    689,886/1,484,694 = 1,484,694/x
  3. Step 3: Cross multiply
    689,886x = 1,484,694 × 1,484,694
  4. Step 4: Simplify right side
    689,886x = 2,204,316,273,636
  5. Step 5: Solve for x
    x = 2,204,316,273,636/689,886
  6. Step 6: Final answer
    x = 3,195,189.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.