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Finding the Third Proportional to 436,077 and 935,194

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Solution

The third proportional to 436,077 and 935,194 is: 2,005,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,077 : 935,194 = 935,194 : x
  2. Step 2: Convert to fraction form
    436,077/935,194 = 935,194/x
  3. Step 3: Cross multiply
    436,077x = 935,194 × 935,194
  4. Step 4: Simplify right side
    436,077x = 874,587,817,636
  5. Step 5: Solve for x
    x = 874,587,817,636/436,077
  6. Step 6: Final answer
    x = 2,005,581.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.