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Finding the Third Proportional to 874,910 and 1,349,679

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Solution

The third proportional to 874,910 and 1,349,679 is: 2,082,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,910 : 1,349,679 = 1,349,679 : x
  2. Step 2: Convert to fraction form
    874,910/1,349,679 = 1,349,679/x
  3. Step 3: Cross multiply
    874,910x = 1,349,679 × 1,349,679
  4. Step 4: Simplify right side
    874,910x = 1,821,633,403,041
  5. Step 5: Solve for x
    x = 1,821,633,403,041/874,910
  6. Step 6: Final answer
    x = 2,082,080.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.