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Finding the Third Proportional to 798,864 and 1,738,800

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Solution

The third proportional to 798,864 and 1,738,800 is: 3,784,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,864 : 1,738,800 = 1,738,800 : x
  2. Step 2: Convert to fraction form
    798,864/1,738,800 = 1,738,800/x
  3. Step 3: Cross multiply
    798,864x = 1,738,800 × 1,738,800
  4. Step 4: Simplify right side
    798,864x = 3,023,425,440,000
  5. Step 5: Solve for x
    x = 3,023,425,440,000/798,864
  6. Step 6: Final answer
    x = 3,784,656.01

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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.