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Finding the Third Proportional to 480,672 and 1,023,456

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Solution

The third proportional to 480,672 and 1,023,456 is: 2,179,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,672 : 1,023,456 = 1,023,456 : x
  2. Step 2: Convert to fraction form
    480,672/1,023,456 = 1,023,456/x
  3. Step 3: Cross multiply
    480,672x = 1,023,456 × 1,023,456
  4. Step 4: Simplify right side
    480,672x = 1,047,462,183,936
  5. Step 5: Solve for x
    x = 1,047,462,183,936/480,672
  6. Step 6: Final answer
    x = 2,179,162.06

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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.