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Finding the Third Proportional to 1,467,984 and 2,268,774

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Solution

The third proportional to 1,467,984 and 2,268,774 is: 3,506,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,984 : 2,268,774 = 2,268,774 : x
  2. Step 2: Convert to fraction form
    1,467,984/2,268,774 = 2,268,774/x
  3. Step 3: Cross multiply
    1,467,984x = 2,268,774 × 2,268,774
  4. Step 4: Simplify right side
    1,467,984x = 5,147,335,463,076
  5. Step 5: Solve for x
    x = 5,147,335,463,076/1,467,984
  6. Step 6: Final answer
    x = 3,506,397.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.