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Finding the Third Proportional to 622,925 and 978,657

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Solution

The third proportional to 622,925 and 978,657 is: 1,537,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,925 : 978,657 = 978,657 : x
  2. Step 2: Convert to fraction form
    622,925/978,657 = 978,657/x
  3. Step 3: Cross multiply
    622,925x = 978,657 × 978,657
  4. Step 4: Simplify right side
    622,925x = 957,769,523,649
  5. Step 5: Solve for x
    x = 957,769,523,649/622,925
  6. Step 6: Final answer
    x = 1,537,535.86

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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.