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Finding the Third Proportional to 512,802 and 1,122,120

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Solution

The third proportional to 512,802 and 1,122,120 is: 2,455,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,802 : 1,122,120 = 1,122,120 : x
  2. Step 2: Convert to fraction form
    512,802/1,122,120 = 1,122,120/x
  3. Step 3: Cross multiply
    512,802x = 1,122,120 × 1,122,120
  4. Step 4: Simplify right side
    512,802x = 1,259,153,294,400
  5. Step 5: Solve for x
    x = 1,259,153,294,400/512,802
  6. Step 6: Final answer
    x = 2,455,437.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.