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Finding the Third Proportional to 736,869 and 1,100,739

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Solution

The third proportional to 736,869 and 1,100,739 is: 1,644,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,869 : 1,100,739 = 1,100,739 : x
  2. Step 2: Convert to fraction form
    736,869/1,100,739 = 1,100,739/x
  3. Step 3: Cross multiply
    736,869x = 1,100,739 × 1,100,739
  4. Step 4: Simplify right side
    736,869x = 1,211,626,346,121
  5. Step 5: Solve for x
    x = 1,211,626,346,121/736,869
  6. Step 6: Final answer
    x = 1,644,290.02

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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.