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Finding the Third Proportional to 470,745 and 1,036,503

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Solution

The third proportional to 470,745 and 1,036,503 is: 2,282,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,745 : 1,036,503 = 1,036,503 : x
  2. Step 2: Convert to fraction form
    470,745/1,036,503 = 1,036,503/x
  3. Step 3: Cross multiply
    470,745x = 1,036,503 × 1,036,503
  4. Step 4: Simplify right side
    470,745x = 1,074,338,469,009
  5. Step 5: Solve for x
    x = 1,074,338,469,009/470,745
  6. Step 6: Final answer
    x = 2,282,208.99

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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.