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Finding the Third Proportional to 1,475,684 and 2,256,348

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Solution

The third proportional to 1,475,684 and 2,256,348 is: 3,449,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475,684 : 2,256,348 = 2,256,348 : x
  2. Step 2: Convert to fraction form
    1,475,684/2,256,348 = 2,256,348/x
  3. Step 3: Cross multiply
    1,475,684x = 2,256,348 × 2,256,348
  4. Step 4: Simplify right side
    1,475,684x = 5,091,106,297,104
  5. Step 5: Solve for x
    x = 5,091,106,297,104/1,475,684
  6. Step 6: Final answer
    x = 3,449,997.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.