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Finding the Third Proportional to 740,647 and 1,106,108

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Solution

The third proportional to 740,647 and 1,106,108 is: 1,651,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,647 : 1,106,108 = 1,106,108 : x
  2. Step 2: Convert to fraction form
    740,647/1,106,108 = 1,106,108/x
  3. Step 3: Cross multiply
    740,647x = 1,106,108 × 1,106,108
  4. Step 4: Simplify right side
    740,647x = 1,223,474,907,664
  5. Step 5: Solve for x
    x = 1,223,474,907,664/740,647
  6. Step 6: Final answer
    x = 1,651,900.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.