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Finding the Third Proportional to 427,996 and 903,740

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Solution

The third proportional to 427,996 and 903,740 is: 1,908,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,996 : 903,740 = 903,740 : x
  2. Step 2: Convert to fraction form
    427,996/903,740 = 903,740/x
  3. Step 3: Cross multiply
    427,996x = 903,740 × 903,740
  4. Step 4: Simplify right side
    427,996x = 816,745,987,600
  5. Step 5: Solve for x
    x = 816,745,987,600/427,996
  6. Step 6: Final answer
    x = 1,908,302.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.