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Finding the Third Proportional to 479,786 and 1,026,004

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Solution

The third proportional to 479,786 and 1,026,004 is: 2,194,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,786 : 1,026,004 = 1,026,004 : x
  2. Step 2: Convert to fraction form
    479,786/1,026,004 = 1,026,004/x
  3. Step 3: Cross multiply
    479,786x = 1,026,004 × 1,026,004
  4. Step 4: Simplify right side
    479,786x = 1,052,684,208,016
  5. Step 5: Solve for x
    x = 1,052,684,208,016/479,786
  6. Step 6: Final answer
    x = 2,194,070.29

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