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Finding the Third Proportional to 432,006 and 942,620

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Solution

The third proportional to 432,006 and 942,620 is: 2,056,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,006 : 942,620 = 942,620 : x
  2. Step 2: Convert to fraction form
    432,006/942,620 = 942,620/x
  3. Step 3: Cross multiply
    432,006x = 942,620 × 942,620
  4. Step 4: Simplify right side
    432,006x = 888,532,464,400
  5. Step 5: Solve for x
    x = 888,532,464,400/432,006
  6. Step 6: Final answer
    x = 2,056,759.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.