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Finding the Third Proportional to 628,894 and 889,032

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Solution

The third proportional to 628,894 and 889,032 is: 1,256,774.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,894 : 889,032 = 889,032 : x
  2. Step 2: Convert to fraction form
    628,894/889,032 = 889,032/x
  3. Step 3: Cross multiply
    628,894x = 889,032 × 889,032
  4. Step 4: Simplify right side
    628,894x = 790,377,897,024
  5. Step 5: Solve for x
    x = 790,377,897,024/628,894
  6. Step 6: Final answer
    x = 1,256,774.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.