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Finding the Third Proportional to 436,035 and 935,114

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Solution

The third proportional to 436,035 and 935,114 is: 2,005,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,035 : 935,114 = 935,114 : x
  2. Step 2: Convert to fraction form
    436,035/935,114 = 935,114/x
  3. Step 3: Cross multiply
    436,035x = 935,114 × 935,114
  4. Step 4: Simplify right side
    436,035x = 874,438,192,996
  5. Step 5: Solve for x
    x = 874,438,192,996/436,035
  6. Step 6: Final answer
    x = 2,005,431.20

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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.