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Finding the Third Proportional to 503,016 and 1,099,312

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Solution

The third proportional to 503,016 and 1,099,312 is: 2,402,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,016 : 1,099,312 = 1,099,312 : x
  2. Step 2: Convert to fraction form
    503,016/1,099,312 = 1,099,312/x
  3. Step 3: Cross multiply
    503,016x = 1,099,312 × 1,099,312
  4. Step 4: Simplify right side
    503,016x = 1,208,486,873,344
  5. Step 5: Solve for x
    x = 1,208,486,873,344/503,016
  6. Step 6: Final answer
    x = 2,402,481.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.