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Finding the Third Proportional to 489,944 and 1,049,869

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Solution

The third proportional to 489,944 and 1,049,869 is: 2,249,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,944 : 1,049,869 = 1,049,869 : x
  2. Step 2: Convert to fraction form
    489,944/1,049,869 = 1,049,869/x
  3. Step 3: Cross multiply
    489,944x = 1,049,869 × 1,049,869
  4. Step 4: Simplify right side
    489,944x = 1,102,224,917,161
  5. Step 5: Solve for x
    x = 1,102,224,917,161/489,944
  6. Step 6: Final answer
    x = 2,249,695.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.