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Finding the Third Proportional to 671,934 and 1,461,966

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Solution

The third proportional to 671,934 and 1,461,966 is: 3,180,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,934 : 1,461,966 = 1,461,966 : x
  2. Step 2: Convert to fraction form
    671,934/1,461,966 = 1,461,966/x
  3. Step 3: Cross multiply
    671,934x = 1,461,966 × 1,461,966
  4. Step 4: Simplify right side
    671,934x = 2,137,344,585,156
  5. Step 5: Solve for x
    x = 2,137,344,585,156/671,934
  6. Step 6: Final answer
    x = 3,180,884.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.