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Finding the Third Proportional to 599,324 and 1,287,584

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Solution

The third proportional to 599,324 and 1,287,584 is: 2,766,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,324 : 1,287,584 = 1,287,584 : x
  2. Step 2: Convert to fraction form
    599,324/1,287,584 = 1,287,584/x
  3. Step 3: Cross multiply
    599,324x = 1,287,584 × 1,287,584
  4. Step 4: Simplify right side
    599,324x = 1,657,872,557,056
  5. Step 5: Solve for x
    x = 1,657,872,557,056/599,324
  6. Step 6: Final answer
    x = 2,766,237.56

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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.