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Finding the Third Proportional to 798,541 and 1,741,594

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Solution

The third proportional to 798,541 and 1,741,594 is: 3,798,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,541 : 1,741,594 = 1,741,594 : x
  2. Step 2: Convert to fraction form
    798,541/1,741,594 = 1,741,594/x
  3. Step 3: Cross multiply
    798,541x = 1,741,594 × 1,741,594
  4. Step 4: Simplify right side
    798,541x = 3,033,149,660,836
  5. Step 5: Solve for x
    x = 3,033,149,660,836/798,541
  6. Step 6: Final answer
    x = 3,798,364.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.