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Finding the Third Proportional to 472,028 and 1,010,800

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Solution

The third proportional to 472,028 and 1,010,800 is: 2,164,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,028 : 1,010,800 = 1,010,800 : x
  2. Step 2: Convert to fraction form
    472,028/1,010,800 = 1,010,800/x
  3. Step 3: Cross multiply
    472,028x = 1,010,800 × 1,010,800
  4. Step 4: Simplify right side
    472,028x = 1,021,716,640,000
  5. Step 5: Solve for x
    x = 1,021,716,640,000/472,028
  6. Step 6: Final answer
    x = 2,164,525.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.