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Finding the Third Proportional to 471,388 and 1,024,742

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Solution

The third proportional to 471,388 and 1,024,742 is: 2,227,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,388 : 1,024,742 = 1,024,742 : x
  2. Step 2: Convert to fraction form
    471,388/1,024,742 = 1,024,742/x
  3. Step 3: Cross multiply
    471,388x = 1,024,742 × 1,024,742
  4. Step 4: Simplify right side
    471,388x = 1,050,096,166,564
  5. Step 5: Solve for x
    x = 1,050,096,166,564/471,388
  6. Step 6: Final answer
    x = 2,227,668.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.