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Finding the Third Proportional to 814,768 and 1,197,180

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Solution

The third proportional to 814,768 and 1,197,180 is: 1,759,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,768 : 1,197,180 = 1,197,180 : x
  2. Step 2: Convert to fraction form
    814,768/1,197,180 = 1,197,180/x
  3. Step 3: Cross multiply
    814,768x = 1,197,180 × 1,197,180
  4. Step 4: Simplify right side
    814,768x = 1,433,239,952,400
  5. Step 5: Solve for x
    x = 1,433,239,952,400/814,768
  6. Step 6: Final answer
    x = 1,759,077.37

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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.