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Finding the Third Proportional to 450,049 and 1,062,381

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Solution

The third proportional to 450,049 and 1,062,381 is: 2,507,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,049 : 1,062,381 = 1,062,381 : x
  2. Step 2: Convert to fraction form
    450,049/1,062,381 = 1,062,381/x
  3. Step 3: Cross multiply
    450,049x = 1,062,381 × 1,062,381
  4. Step 4: Simplify right side
    450,049x = 1,128,653,389,161
  5. Step 5: Solve for x
    x = 1,128,653,389,161/450,049
  6. Step 6: Final answer
    x = 2,507,845.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.