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Finding the Third Proportional to 814,114 and 1,245,347

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Solution

The third proportional to 814,114 and 1,245,347 is: 1,905,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,114 : 1,245,347 = 1,245,347 : x
  2. Step 2: Convert to fraction form
    814,114/1,245,347 = 1,245,347/x
  3. Step 3: Cross multiply
    814,114x = 1,245,347 × 1,245,347
  4. Step 4: Simplify right side
    814,114x = 1,550,889,150,409
  5. Step 5: Solve for x
    x = 1,550,889,150,409/814,114
  6. Step 6: Final answer
    x = 1,905,002.43

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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.