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Finding the Third Proportional to 814,368.75 and 1,754,960.25

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Solution

The third proportional to 814,368.75 and 1,754,960.25 is: 3,781,929.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,368.75 : 1,754,960.25 = 1,754,960.25 : x
  2. Step 2: Convert to fraction form
    814,368.75/1,754,960.25 = 1,754,960.25/x
  3. Step 3: Cross multiply
    814,368.75x = 1,754,960.25 × 1,754,960.25
  4. Step 4: Simplify right side
    814,368.75x = 3,079,885,479,080.06
  5. Step 5: Solve for x
    x = 3,079,885,479,080.06/814,368.75
  6. Step 6: Final answer
    x = 3,781,929.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.