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Finding the Third Proportional to 1,745,017 and 3,691,232

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Solution

The third proportional to 1,745,017 and 3,691,232 is: 7,808,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,017 : 3,691,232 = 3,691,232 : x
  2. Step 2: Convert to fraction form
    1,745,017/3,691,232 = 3,691,232/x
  3. Step 3: Cross multiply
    1,745,017x = 3,691,232 × 3,691,232
  4. Step 4: Simplify right side
    1,745,017x = 13,625,193,677,824
  5. Step 5: Solve for x
    x = 13,625,193,677,824/1,745,017
  6. Step 6: Final answer
    x = 7,808,057.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.