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Finding the Third Proportional to 1,310,016 and 2,841,216

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Solution

The third proportional to 1,310,016 and 2,841,216 is: 6,162,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,016 : 2,841,216 = 2,841,216 : x
  2. Step 2: Convert to fraction form
    1,310,016/2,841,216 = 2,841,216/x
  3. Step 3: Cross multiply
    1,310,016x = 2,841,216 × 2,841,216
  4. Step 4: Simplify right side
    1,310,016x = 8,072,508,358,656
  5. Step 5: Solve for x
    x = 8,072,508,358,656/1,310,016
  6. Step 6: Final answer
    x = 6,162,144.86

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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.