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Finding the Third Proportional to 1,157,969 and 2,551,531

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Solution

The third proportional to 1,157,969 and 2,551,531 is: 5,622,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,969 : 2,551,531 = 2,551,531 : x
  2. Step 2: Convert to fraction form
    1,157,969/2,551,531 = 2,551,531/x
  3. Step 3: Cross multiply
    1,157,969x = 2,551,531 × 2,551,531
  4. Step 4: Simplify right side
    1,157,969x = 6,510,310,443,961
  5. Step 5: Solve for x
    x = 6,510,310,443,961/1,157,969
  6. Step 6: Final answer
    x = 5,622,180.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.