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Finding the Third Proportional to 498,408 and 1,062,056

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Solution

The third proportional to 498,408 and 1,062,056 is: 2,263,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,408 : 1,062,056 = 1,062,056 : x
  2. Step 2: Convert to fraction form
    498,408/1,062,056 = 1,062,056/x
  3. Step 3: Cross multiply
    498,408x = 1,062,056 × 1,062,056
  4. Step 4: Simplify right side
    498,408x = 1,127,962,947,136
  5. Step 5: Solve for x
    x = 1,127,962,947,136/498,408
  6. Step 6: Final answer
    x = 2,263,131.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.