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Finding the Third Proportional to 1,277,738 and 2,732,764

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Solution

The third proportional to 1,277,738 and 2,732,764 is: 5,844,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,738 : 2,732,764 = 2,732,764 : x
  2. Step 2: Convert to fraction form
    1,277,738/2,732,764 = 2,732,764/x
  3. Step 3: Cross multiply
    1,277,738x = 2,732,764 × 2,732,764
  4. Step 4: Simplify right side
    1,277,738x = 7,467,999,079,696
  5. Step 5: Solve for x
    x = 7,467,999,079,696/1,277,738
  6. Step 6: Final answer
    x = 5,844,702.97

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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.