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Finding the Third Proportional to 1,285,946 and 2,749,048

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Solution

The third proportional to 1,285,946 and 2,749,048 is: 5,876,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,946 : 2,749,048 = 2,749,048 : x
  2. Step 2: Convert to fraction form
    1,285,946/2,749,048 = 2,749,048/x
  3. Step 3: Cross multiply
    1,285,946x = 2,749,048 × 2,749,048
  4. Step 4: Simplify right side
    1,285,946x = 7,557,264,906,304
  5. Step 5: Solve for x
    x = 7,557,264,906,304/1,285,946
  6. Step 6: Final answer
    x = 5,876,813.57

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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.