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Finding the Third Proportional to 432,012 and 942,632

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Solution

The third proportional to 432,012 and 942,632 is: 2,056,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,012 : 942,632 = 942,632 : x
  2. Step 2: Convert to fraction form
    432,012/942,632 = 942,632/x
  3. Step 3: Cross multiply
    432,012x = 942,632 × 942,632
  4. Step 4: Simplify right side
    432,012x = 888,555,087,424
  5. Step 5: Solve for x
    x = 888,555,087,424/432,012
  6. Step 6: Final answer
    x = 2,056,783.35

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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.