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Finding the Third Proportional to 647,339 and 1,436,161

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Solution

The third proportional to 647,339 and 1,436,161 is: 3,186,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,339 : 1,436,161 = 1,436,161 : x
  2. Step 2: Convert to fraction form
    647,339/1,436,161 = 1,436,161/x
  3. Step 3: Cross multiply
    647,339x = 1,436,161 × 1,436,161
  4. Step 4: Simplify right side
    647,339x = 2,062,558,417,921
  5. Step 5: Solve for x
    x = 2,062,558,417,921/647,339
  6. Step 6: Final answer
    x = 3,186,210.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.