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Finding the Third Proportional to 798,808 and 1,738,678

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Solution

The third proportional to 798,808 and 1,738,678 is: 3,784,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,808 : 1,738,678 = 1,738,678 : x
  2. Step 2: Convert to fraction form
    798,808/1,738,678 = 1,738,678/x
  3. Step 3: Cross multiply
    798,808x = 1,738,678 × 1,738,678
  4. Step 4: Simplify right side
    798,808x = 3,023,001,187,684
  5. Step 5: Solve for x
    x = 3,023,001,187,684/798,808
  6. Step 6: Final answer
    x = 3,784,390.23

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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.