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Finding the Third Proportional to 470,048 and 1,033,408

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Solution

The third proportional to 470,048 and 1,033,408 is: 2,271,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,048 : 1,033,408 = 1,033,408 : x
  2. Step 2: Convert to fraction form
    470,048/1,033,408 = 1,033,408/x
  3. Step 3: Cross multiply
    470,048x = 1,033,408 × 1,033,408
  4. Step 4: Simplify right side
    470,048x = 1,067,932,094,464
  5. Step 5: Solve for x
    x = 1,067,932,094,464/470,048
  6. Step 6: Final answer
    x = 2,271,963.92

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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.