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Finding the Third Proportional to 644,946 and 902,049

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Solution

The third proportional to 644,946 and 902,049 is: 1,261,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,946 : 902,049 = 902,049 : x
  2. Step 2: Convert to fraction form
    644,946/902,049 = 902,049/x
  3. Step 3: Cross multiply
    644,946x = 902,049 × 902,049
  4. Step 4: Simplify right side
    644,946x = 813,692,398,401
  5. Step 5: Solve for x
    x = 813,692,398,401/644,946
  6. Step 6: Final answer
    x = 1,261,644.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.