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Finding the Third Proportional to 470,040 and 1,033,392

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Solution

The third proportional to 470,040 and 1,033,392 is: 2,271,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,040 : 1,033,392 = 1,033,392 : x
  2. Step 2: Convert to fraction form
    470,040/1,033,392 = 1,033,392/x
  3. Step 3: Cross multiply
    470,040x = 1,033,392 × 1,033,392
  4. Step 4: Simplify right side
    470,040x = 1,067,899,025,664
  5. Step 5: Solve for x
    x = 1,067,899,025,664/470,040
  6. Step 6: Final answer
    x = 2,271,932.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.