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Finding the Third Proportional to 698,778 and 1,054,809

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Solution

The third proportional to 698,778 and 1,054,809 is: 1,592,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,778 : 1,054,809 = 1,054,809 : x
  2. Step 2: Convert to fraction form
    698,778/1,054,809 = 1,054,809/x
  3. Step 3: Cross multiply
    698,778x = 1,054,809 × 1,054,809
  4. Step 4: Simplify right side
    698,778x = 1,112,622,026,481
  5. Step 5: Solve for x
    x = 1,112,622,026,481/698,778
  6. Step 6: Final answer
    x = 1,592,239.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.