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Finding the Third Proportional to 1,632,564 and 3,812,302

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Solution

The third proportional to 1,632,564 and 3,812,302 is: 8,902,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,564 : 3,812,302 = 3,812,302 : x
  2. Step 2: Convert to fraction form
    1,632,564/3,812,302 = 3,812,302/x
  3. Step 3: Cross multiply
    1,632,564x = 3,812,302 × 3,812,302
  4. Step 4: Simplify right side
    1,632,564x = 14,533,646,539,204
  5. Step 5: Solve for x
    x = 14,533,646,539,204/1,632,564
  6. Step 6: Final answer
    x = 8,902,344.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.