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Finding the Third Proportional to 427,915 and 903,582

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Solution

The third proportional to 427,915 and 903,582 is: 1,907,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,915 : 903,582 = 903,582 : x
  2. Step 2: Convert to fraction form
    427,915/903,582 = 903,582/x
  3. Step 3: Cross multiply
    427,915x = 903,582 × 903,582
  4. Step 4: Simplify right side
    427,915x = 816,460,430,724
  5. Step 5: Solve for x
    x = 816,460,430,724/427,915
  6. Step 6: Final answer
    x = 1,907,996.75

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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.