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Finding the Third Proportional to 647,340 and 1,436,160

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Solution

The third proportional to 647,340 and 1,436,160 is: 3,186,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,340 : 1,436,160 = 1,436,160 : x
  2. Step 2: Convert to fraction form
    647,340/1,436,160 = 1,436,160/x
  3. Step 3: Cross multiply
    647,340x = 1,436,160 × 1,436,160
  4. Step 4: Simplify right side
    647,340x = 2,062,555,545,600
  5. Step 5: Solve for x
    x = 2,062,555,545,600/647,340
  6. Step 6: Final answer
    x = 3,186,201.29

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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.