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Finding the Third Proportional to 928,108 and 1,966,040

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Solution

The third proportional to 928,108 and 1,966,040 is: 4,164,723.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,108 : 1,966,040 = 1,966,040 : x
  2. Step 2: Convert to fraction form
    928,108/1,966,040 = 1,966,040/x
  3. Step 3: Cross multiply
    928,108x = 1,966,040 × 1,966,040
  4. Step 4: Simplify right side
    928,108x = 3,865,313,281,600
  5. Step 5: Solve for x
    x = 3,865,313,281,600/928,108
  6. Step 6: Final answer
    x = 4,164,723.59

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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.