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Finding the Third Proportional to 671,596 and 1,461,344

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Solution

The third proportional to 671,596 and 1,461,344 is: 3,179,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,596 : 1,461,344 = 1,461,344 : x
  2. Step 2: Convert to fraction form
    671,596/1,461,344 = 1,461,344/x
  3. Step 3: Cross multiply
    671,596x = 1,461,344 × 1,461,344
  4. Step 4: Simplify right side
    671,596x = 2,135,526,286,336
  5. Step 5: Solve for x
    x = 2,135,526,286,336/671,596
  6. Step 6: Final answer
    x = 3,179,778.15

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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.