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Finding the Third Proportional to 418,176 and 903,168

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Solution

The third proportional to 418,176 and 903,168 is: 1,950,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,176 : 903,168 = 903,168 : x
  2. Step 2: Convert to fraction form
    418,176/903,168 = 903,168/x
  3. Step 3: Cross multiply
    418,176x = 903,168 × 903,168
  4. Step 4: Simplify right side
    418,176x = 815,712,436,224
  5. Step 5: Solve for x
    x = 815,712,436,224/418,176
  6. Step 6: Final answer
    x = 1,950,643.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.