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Finding the Third Proportional to 622,444 and 988,097

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Solution

The third proportional to 622,444 and 988,097 is: 1,568,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,444 : 988,097 = 988,097 : x
  2. Step 2: Convert to fraction form
    622,444/988,097 = 988,097/x
  3. Step 3: Cross multiply
    622,444x = 988,097 × 988,097
  4. Step 4: Simplify right side
    622,444x = 976,335,681,409
  5. Step 5: Solve for x
    x = 976,335,681,409/622,444
  6. Step 6: Final answer
    x = 1,568,551.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.