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Finding the Third Proportional to 425,186 and 902,212

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Solution

The third proportional to 425,186 and 902,212 is: 1,914,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,186 : 902,212 = 902,212 : x
  2. Step 2: Convert to fraction form
    425,186/902,212 = 902,212/x
  3. Step 3: Cross multiply
    425,186x = 902,212 × 902,212
  4. Step 4: Simplify right side
    425,186x = 813,986,492,944
  5. Step 5: Solve for x
    x = 813,986,492,944/425,186
  6. Step 6: Final answer
    x = 1,914,424.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.