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Finding the Third Proportional to 814,305 and 1,197,130

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Solution

The third proportional to 814,305 and 1,197,130 is: 1,759,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,305 : 1,197,130 = 1,197,130 : x
  2. Step 2: Convert to fraction form
    814,305/1,197,130 = 1,197,130/x
  3. Step 3: Cross multiply
    814,305x = 1,197,130 × 1,197,130
  4. Step 4: Simplify right side
    814,305x = 1,433,120,236,900
  5. Step 5: Solve for x
    x = 1,433,120,236,900/814,305
  6. Step 6: Final answer
    x = 1,759,930.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.