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Finding the Third Proportional to 919,128 and 1,944,240

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Solution

The third proportional to 919,128 and 1,944,240 is: 4,112,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,128 : 1,944,240 = 1,944,240 : x
  2. Step 2: Convert to fraction form
    919,128/1,944,240 = 1,944,240/x
  3. Step 3: Cross multiply
    919,128x = 1,944,240 × 1,944,240
  4. Step 4: Simplify right side
    919,128x = 3,780,069,177,600
  5. Step 5: Solve for x
    x = 3,780,069,177,600/919,128
  6. Step 6: Final answer
    x = 4,112,668.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.