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Finding the Third Proportional to 737,970 and 1,106,969

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Solution

The third proportional to 737,970 and 1,106,969 is: 1,660,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,970 : 1,106,969 = 1,106,969 : x
  2. Step 2: Convert to fraction form
    737,970/1,106,969 = 1,106,969/x
  3. Step 3: Cross multiply
    737,970x = 1,106,969 × 1,106,969
  4. Step 4: Simplify right side
    737,970x = 1,225,380,366,961
  5. Step 5: Solve for x
    x = 1,225,380,366,961/737,970
  6. Step 6: Final answer
    x = 1,660,474.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.