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Finding the Third Proportional to 456,304 and 1,099,288

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Solution

The third proportional to 456,304 and 1,099,288 is: 2,648,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,304 : 1,099,288 = 1,099,288 : x
  2. Step 2: Convert to fraction form
    456,304/1,099,288 = 1,099,288/x
  3. Step 3: Cross multiply
    456,304x = 1,099,288 × 1,099,288
  4. Step 4: Simplify right side
    456,304x = 1,208,434,106,944
  5. Step 5: Solve for x
    x = 1,208,434,106,944/456,304
  6. Step 6: Final answer
    x = 2,648,309.26

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.