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Finding the Third Proportional to 960,379 and 1,438,057

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Solution

The third proportional to 960,379 and 1,438,057 is: 2,153,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,379 : 1,438,057 = 1,438,057 : x
  2. Step 2: Convert to fraction form
    960,379/1,438,057 = 1,438,057/x
  3. Step 3: Cross multiply
    960,379x = 1,438,057 × 1,438,057
  4. Step 4: Simplify right side
    960,379x = 2,068,007,935,249
  5. Step 5: Solve for x
    x = 2,068,007,935,249/960,379
  6. Step 6: Final answer
    x = 2,153,324.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.