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Finding the Third Proportional to 814,456 and 1,242,750

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Solution

The third proportional to 814,456 and 1,242,750 is: 1,896,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,456 : 1,242,750 = 1,242,750 : x
  2. Step 2: Convert to fraction form
    814,456/1,242,750 = 1,242,750/x
  3. Step 3: Cross multiply
    814,456x = 1,242,750 × 1,242,750
  4. Step 4: Simplify right side
    814,456x = 1,544,427,562,500
  5. Step 5: Solve for x
    x = 1,544,427,562,500/814,456
  6. Step 6: Final answer
    x = 1,896,268.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.