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Finding the Third Proportional to 647,234 and 1,418,884

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Solution

The third proportional to 647,234 and 1,418,884 is: 3,110,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,234 : 1,418,884 = 1,418,884 : x
  2. Step 2: Convert to fraction form
    647,234/1,418,884 = 1,418,884/x
  3. Step 3: Cross multiply
    647,234x = 1,418,884 × 1,418,884
  4. Step 4: Simplify right side
    647,234x = 2,013,231,805,456
  5. Step 5: Solve for x
    x = 2,013,231,805,456/647,234
  6. Step 6: Final answer
    x = 3,110,516.14

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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.