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Finding the Third Proportional to 794,016 and 1,727,988

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Solution

The third proportional to 794,016 and 1,727,988 is: 3,760,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,016 : 1,727,988 = 1,727,988 : x
  2. Step 2: Convert to fraction form
    794,016/1,727,988 = 1,727,988/x
  3. Step 3: Cross multiply
    794,016x = 1,727,988 × 1,727,988
  4. Step 4: Simplify right side
    794,016x = 2,985,942,528,144
  5. Step 5: Solve for x
    x = 2,985,942,528,144/794,016
  6. Step 6: Final answer
    x = 3,760,557.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.