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Finding the Third Proportional to 436,869 and 934,473

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Solution

The third proportional to 436,869 and 934,473 is: 1,998,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,869 : 934,473 = 934,473 : x
  2. Step 2: Convert to fraction form
    436,869/934,473 = 934,473/x
  3. Step 3: Cross multiply
    436,869x = 934,473 × 934,473
  4. Step 4: Simplify right side
    436,869x = 873,239,787,729
  5. Step 5: Solve for x
    x = 873,239,787,729/436,869
  6. Step 6: Final answer
    x = 1,998,859.58

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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.