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Finding the Third Proportional to 420,328 and 902,864

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Solution

The third proportional to 420,328 and 902,864 is: 1,939,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,328 : 902,864 = 902,864 : x
  2. Step 2: Convert to fraction form
    420,328/902,864 = 902,864/x
  3. Step 3: Cross multiply
    420,328x = 902,864 × 902,864
  4. Step 4: Simplify right side
    420,328x = 815,163,402,496
  5. Step 5: Solve for x
    x = 815,163,402,496/420,328
  6. Step 6: Final answer
    x = 1,939,350.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.