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Finding the Third Proportional to 432,180 and 943,091

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Solution

The third proportional to 432,180 and 943,091 is: 2,057,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,180 : 943,091 = 943,091 : x
  2. Step 2: Convert to fraction form
    432,180/943,091 = 943,091/x
  3. Step 3: Cross multiply
    432,180x = 943,091 × 943,091
  4. Step 4: Simplify right side
    432,180x = 889,420,634,281
  5. Step 5: Solve for x
    x = 889,420,634,281/432,180
  6. Step 6: Final answer
    x = 2,057,986.57

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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.