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Finding the Third Proportional to 436,072 and 935,192

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Solution

The third proportional to 436,072 and 935,192 is: 2,005,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,072 : 935,192 = 935,192 : x
  2. Step 2: Convert to fraction form
    436,072/935,192 = 935,192/x
  3. Step 3: Cross multiply
    436,072x = 935,192 × 935,192
  4. Step 4: Simplify right side
    436,072x = 874,584,076,864
  5. Step 5: Solve for x
    x = 874,584,076,864/436,072
  6. Step 6: Final answer
    x = 2,005,595.58

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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.