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Finding the Third Proportional to 594,111 and 1,282,917

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Solution

The third proportional to 594,111 and 1,282,917 is: 2,770,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,111 : 1,282,917 = 1,282,917 : x
  2. Step 2: Convert to fraction form
    594,111/1,282,917 = 1,282,917/x
  3. Step 3: Cross multiply
    594,111x = 1,282,917 × 1,282,917
  4. Step 4: Simplify right side
    594,111x = 1,645,876,028,889
  5. Step 5: Solve for x
    x = 1,645,876,028,889/594,111
  6. Step 6: Final answer
    x = 2,770,317.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.