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Finding the Third Proportional to 739,378 and 1,056,551

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Solution

The third proportional to 739,378 and 1,056,551 is: 1,509,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,378 : 1,056,551 = 1,056,551 : x
  2. Step 2: Convert to fraction form
    739,378/1,056,551 = 1,056,551/x
  3. Step 3: Cross multiply
    739,378x = 1,056,551 × 1,056,551
  4. Step 4: Simplify right side
    739,378x = 1,116,300,015,601
  5. Step 5: Solve for x
    x = 1,116,300,015,601/739,378
  6. Step 6: Final answer
    x = 1,509,782.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.