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Finding the Third Proportional to 739,726 and 1,593,724

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Solution

The third proportional to 739,726 and 1,593,724 is: 3,433,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,726 : 1,593,724 = 1,593,724 : x
  2. Step 2: Convert to fraction form
    739,726/1,593,724 = 1,593,724/x
  3. Step 3: Cross multiply
    739,726x = 1,593,724 × 1,593,724
  4. Step 4: Simplify right side
    739,726x = 2,539,956,188,176
  5. Step 5: Solve for x
    x = 2,539,956,188,176/739,726
  6. Step 6: Final answer
    x = 3,433,644.60

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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.