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Finding the Third Proportional to 647,232 and 1,418,880

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Solution

The third proportional to 647,232 and 1,418,880 is: 3,110,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,232 : 1,418,880 = 1,418,880 : x
  2. Step 2: Convert to fraction form
    647,232/1,418,880 = 1,418,880/x
  3. Step 3: Cross multiply
    647,232x = 1,418,880 × 1,418,880
  4. Step 4: Simplify right side
    647,232x = 2,013,220,454,400
  5. Step 5: Solve for x
    x = 2,013,220,454,400/647,232
  6. Step 6: Final answer
    x = 3,110,508.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.