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Finding the Third Proportional to 851,232 and 1,827,896

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Solution

The third proportional to 851,232 and 1,827,896 is: 3,925,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,232 : 1,827,896 = 1,827,896 : x
  2. Step 2: Convert to fraction form
    851,232/1,827,896 = 1,827,896/x
  3. Step 3: Cross multiply
    851,232x = 1,827,896 × 1,827,896
  4. Step 4: Simplify right side
    851,232x = 3,341,203,786,816
  5. Step 5: Solve for x
    x = 3,341,203,786,816/851,232
  6. Step 6: Final answer
    x = 3,925,138.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.