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Finding the Third Proportional to 480,665 and 1,023,457

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Solution

The third proportional to 480,665 and 1,023,457 is: 2,179,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,665 : 1,023,457 = 1,023,457 : x
  2. Step 2: Convert to fraction form
    480,665/1,023,457 = 1,023,457/x
  3. Step 3: Cross multiply
    480,665x = 1,023,457 × 1,023,457
  4. Step 4: Simplify right side
    480,665x = 1,047,464,230,849
  5. Step 5: Solve for x
    x = 1,047,464,230,849/480,665
  6. Step 6: Final answer
    x = 2,179,198.05

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.