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Finding the Third Proportional to 498,638 and 1,026,679

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Solution

The third proportional to 498,638 and 1,026,679 is: 2,113,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,638 : 1,026,679 = 1,026,679 : x
  2. Step 2: Convert to fraction form
    498,638/1,026,679 = 1,026,679/x
  3. Step 3: Cross multiply
    498,638x = 1,026,679 × 1,026,679
  4. Step 4: Simplify right side
    498,638x = 1,054,069,769,041
  5. Step 5: Solve for x
    x = 1,054,069,769,041/498,638
  6. Step 6: Final answer
    x = 2,113,897.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.