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Finding the Third Proportional to 778,224 and 1,201,860

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Solution

The third proportional to 778,224 and 1,201,860 is: 1,856,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,224 : 1,201,860 = 1,201,860 : x
  2. Step 2: Convert to fraction form
    778,224/1,201,860 = 1,201,860/x
  3. Step 3: Cross multiply
    778,224x = 1,201,860 × 1,201,860
  4. Step 4: Simplify right side
    778,224x = 1,444,467,459,600
  5. Step 5: Solve for x
    x = 1,444,467,459,600/778,224
  6. Step 6: Final answer
    x = 1,856,107.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.