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Finding the Third Proportional to 1,157,986 and 2,551,565

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Solution

The third proportional to 1,157,986 and 2,551,565 is: 5,622,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,986 : 2,551,565 = 2,551,565 : x
  2. Step 2: Convert to fraction form
    1,157,986/2,551,565 = 2,551,565/x
  3. Step 3: Cross multiply
    1,157,986x = 2,551,565 × 2,551,565
  4. Step 4: Simplify right side
    1,157,986x = 6,510,483,949,225
  5. Step 5: Solve for x
    x = 6,510,483,949,225/1,157,986
  6. Step 6: Final answer
    x = 5,622,247.55

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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.