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Finding the Third Proportional to 814,005 and 1,196,619.75

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Solution

The third proportional to 814,005 and 1,196,619.75 is: 1,759,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,005 : 1,196,619.75 = 1,196,619.75 : x
  2. Step 2: Convert to fraction form
    814,005/1,196,619.75 = 1,196,619.75/x
  3. Step 3: Cross multiply
    814,005x = 1,196,619.75 × 1,196,619.75
  4. Step 4: Simplify right side
    814,005x = 1,431,898,826,090.06
  5. Step 5: Solve for x
    x = 1,431,898,826,090.06/814,005
  6. Step 6: Final answer
    x = 1,759,078.66

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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.