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Finding the Third Proportional to 737,056 and 1,607,519

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Solution

The third proportional to 737,056 and 1,607,519 is: 3,505,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,056 : 1,607,519 = 1,607,519 : x
  2. Step 2: Convert to fraction form
    737,056/1,607,519 = 1,607,519/x
  3. Step 3: Cross multiply
    737,056x = 1,607,519 × 1,607,519
  4. Step 4: Simplify right side
    737,056x = 2,584,117,335,361
  5. Step 5: Solve for x
    x = 2,584,117,335,361/737,056
  6. Step 6: Final answer
    x = 3,505,998.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.