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Finding the Third Proportional to 737,048 and 1,607,503

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Solution

The third proportional to 737,048 and 1,607,503 is: 3,505,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,048 : 1,607,503 = 1,607,503 : x
  2. Step 2: Convert to fraction form
    737,048/1,607,503 = 1,607,503/x
  3. Step 3: Cross multiply
    737,048x = 1,607,503 × 1,607,503
  4. Step 4: Simplify right side
    737,048x = 2,584,065,895,009
  5. Step 5: Solve for x
    x = 2,584,065,895,009/737,048
  6. Step 6: Final answer
    x = 3,505,966.90

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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.