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Finding the Third Proportional to 735,674 and 988,623

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Solution

The third proportional to 735,674 and 988,623 is: 1,328,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,674 : 988,623 = 988,623 : x
  2. Step 2: Convert to fraction form
    735,674/988,623 = 988,623/x
  3. Step 3: Cross multiply
    735,674x = 988,623 × 988,623
  4. Step 4: Simplify right side
    735,674x = 977,375,436,129
  5. Step 5: Solve for x
    x = 977,375,436,129/735,674
  6. Step 6: Final answer
    x = 1,328,544.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.