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Finding the Third Proportional to 470,739 and 1,036,491

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Solution

The third proportional to 470,739 and 1,036,491 is: 2,282,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,739 : 1,036,491 = 1,036,491 : x
  2. Step 2: Convert to fraction form
    470,739/1,036,491 = 1,036,491/x
  3. Step 3: Cross multiply
    470,739x = 1,036,491 × 1,036,491
  4. Step 4: Simplify right side
    470,739x = 1,074,313,593,081
  5. Step 5: Solve for x
    x = 1,074,313,593,081/470,739
  6. Step 6: Final answer
    x = 2,282,185.23

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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.