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Finding the Third Proportional to 456,306 and 1,099,293

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Solution

The third proportional to 456,306 and 1,099,293 is: 2,648,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,306 : 1,099,293 = 1,099,293 : x
  2. Step 2: Convert to fraction form
    456,306/1,099,293 = 1,099,293/x
  3. Step 3: Cross multiply
    456,306x = 1,099,293 × 1,099,293
  4. Step 4: Simplify right side
    456,306x = 1,208,445,099,849
  5. Step 5: Solve for x
    x = 1,208,445,099,849/456,306
  6. Step 6: Final answer
    x = 2,648,321.74

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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.