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Finding the Third Proportional to 1,449,374 and 1,968,213

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Solution

The third proportional to 1,449,374 and 1,968,213 is: 2,672,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,374 : 1,968,213 = 1,968,213 : x
  2. Step 2: Convert to fraction form
    1,449,374/1,968,213 = 1,968,213/x
  3. Step 3: Cross multiply
    1,449,374x = 1,968,213 × 1,968,213
  4. Step 4: Simplify right side
    1,449,374x = 3,873,862,413,369
  5. Step 5: Solve for x
    x = 3,873,862,413,369/1,449,374
  6. Step 6: Final answer
    x = 2,672,783.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.