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Finding the Third Proportional to 436,974.75 and 934,669.13

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Solution

The third proportional to 436,974.75 and 934,669.13 is: 1,999,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,974.75 : 934,669.13 = 934,669.13 : x
  2. Step 2: Convert to fraction form
    436,974.75/934,669.13 = 934,669.13/x
  3. Step 3: Cross multiply
    436,974.75x = 934,669.13 × 934,669.13
  4. Step 4: Simplify right side
    436,974.75x = 873,606,373,228.27
  5. Step 5: Solve for x
    x = 873,606,373,228.27/436,974.75
  6. Step 6: Final answer
    x = 1,999,214.77

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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.