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Finding the Third Proportional to 622,978 and 975,986

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Solution

The third proportional to 622,978 and 975,986 is: 1,529,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,978 : 975,986 = 975,986 : x
  2. Step 2: Convert to fraction form
    622,978/975,986 = 975,986/x
  3. Step 3: Cross multiply
    622,978x = 975,986 × 975,986
  4. Step 4: Simplify right side
    622,978x = 952,548,672,196
  5. Step 5: Solve for x
    x = 952,548,672,196/622,978
  6. Step 6: Final answer
    x = 1,529,024.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.