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Finding the Third Proportional to 583,072 and 1,255,616

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Solution

The third proportional to 583,072 and 1,255,616 is: 2,703,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,072 : 1,255,616 = 1,255,616 : x
  2. Step 2: Convert to fraction form
    583,072/1,255,616 = 1,255,616/x
  3. Step 3: Cross multiply
    583,072x = 1,255,616 × 1,255,616
  4. Step 4: Simplify right side
    583,072x = 1,576,571,539,456
  5. Step 5: Solve for x
    x = 1,576,571,539,456/583,072
  6. Step 6: Final answer
    x = 2,703,905.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.