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Finding the Third Proportional to 945,954 and 1,391,267

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Solution

The third proportional to 945,954 and 1,391,267 is: 2,046,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,954 : 1,391,267 = 1,391,267 : x
  2. Step 2: Convert to fraction form
    945,954/1,391,267 = 1,391,267/x
  3. Step 3: Cross multiply
    945,954x = 1,391,267 × 1,391,267
  4. Step 4: Simplify right side
    945,954x = 1,935,623,865,289
  5. Step 5: Solve for x
    x = 1,935,623,865,289/945,954
  6. Step 6: Final answer
    x = 2,046,213.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.