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Finding the Third Proportional to 1,277,709.44 and 2,732,702.56

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Solution

The third proportional to 1,277,709.44 and 2,732,702.56 is: 5,844,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,709.44 : 2,732,702.56 = 2,732,702.56 : x
  2. Step 2: Convert to fraction form
    1,277,709.44/2,732,702.56 = 2,732,702.56/x
  3. Step 3: Cross multiply
    1,277,709.44x = 2,732,702.56 × 2,732,702.56
  4. Step 4: Simplify right side
    1,277,709.44x = 7,467,663,295,094.07
  5. Step 5: Solve for x
    x = 7,467,663,295,094.07/1,277,709.44
  6. Step 6: Final answer
    x = 5,844,570.82

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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.