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Finding the Third Proportional to 479,817 and 1,026,057

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Solution

The third proportional to 479,817 and 1,026,057 is: 2,194,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,817 : 1,026,057 = 1,026,057 : x
  2. Step 2: Convert to fraction form
    479,817/1,026,057 = 1,026,057/x
  3. Step 3: Cross multiply
    479,817x = 1,026,057 × 1,026,057
  4. Step 4: Simplify right side
    479,817x = 1,052,792,967,249
  5. Step 5: Solve for x
    x = 1,052,792,967,249/479,817
  6. Step 6: Final answer
    x = 2,194,155.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.