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Finding the Third Proportional to 514,016 and 1,113,838

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Solution

The third proportional to 514,016 and 1,113,838 is: 2,413,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,016 : 1,113,838 = 1,113,838 : x
  2. Step 2: Convert to fraction form
    514,016/1,113,838 = 1,113,838/x
  3. Step 3: Cross multiply
    514,016x = 1,113,838 × 1,113,838
  4. Step 4: Simplify right side
    514,016x = 1,240,635,090,244
  5. Step 5: Solve for x
    x = 1,240,635,090,244/514,016
  6. Step 6: Final answer
    x = 2,413,611.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.