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Finding the Third Proportional to 594,242 and 1,280,884

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Solution

The third proportional to 594,242 and 1,280,884 is: 2,760,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,242 : 1,280,884 = 1,280,884 : x
  2. Step 2: Convert to fraction form
    594,242/1,280,884 = 1,280,884/x
  3. Step 3: Cross multiply
    594,242x = 1,280,884 × 1,280,884
  4. Step 4: Simplify right side
    594,242x = 1,640,663,821,456
  5. Step 5: Solve for x
    x = 1,640,663,821,456/594,242
  6. Step 6: Final answer
    x = 2,760,935.48

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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.