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Finding the Third Proportional to 437,057 and 934,891

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Solution

The third proportional to 437,057 and 934,891 is: 1,999,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,057 : 934,891 = 934,891 : x
  2. Step 2: Convert to fraction form
    437,057/934,891 = 934,891/x
  3. Step 3: Cross multiply
    437,057x = 934,891 × 934,891
  4. Step 4: Simplify right side
    437,057x = 874,021,181,881
  5. Step 5: Solve for x
    x = 874,021,181,881/437,057
  6. Step 6: Final answer
    x = 1,999,787.63

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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.