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Finding the Third Proportional to 814,692 and 1,235,157

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Solution

The third proportional to 814,692 and 1,235,157 is: 1,872,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,692 : 1,235,157 = 1,235,157 : x
  2. Step 2: Convert to fraction form
    814,692/1,235,157 = 1,235,157/x
  3. Step 3: Cross multiply
    814,692x = 1,235,157 × 1,235,157
  4. Step 4: Simplify right side
    814,692x = 1,525,612,814,649
  5. Step 5: Solve for x
    x = 1,525,612,814,649/814,692
  6. Step 6: Final answer
    x = 1,872,625.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.