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Finding the Third Proportional to 432,178 and 943,087

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Solution

The third proportional to 432,178 and 943,087 is: 2,057,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,178 : 943,087 = 943,087 : x
  2. Step 2: Convert to fraction form
    432,178/943,087 = 943,087/x
  3. Step 3: Cross multiply
    432,178x = 943,087 × 943,087
  4. Step 4: Simplify right side
    432,178x = 889,413,089,569
  5. Step 5: Solve for x
    x = 889,413,089,569/432,178
  6. Step 6: Final answer
    x = 2,057,978.63

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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.