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Finding the Third Proportional to 1,324,164 and 2,807,216

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Solution

The third proportional to 1,324,164 and 2,807,216 is: 5,951,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,164 : 2,807,216 = 2,807,216 : x
  2. Step 2: Convert to fraction form
    1,324,164/2,807,216 = 2,807,216/x
  3. Step 3: Cross multiply
    1,324,164x = 2,807,216 × 2,807,216
  4. Step 4: Simplify right side
    1,324,164x = 7,880,461,670,656
  5. Step 5: Solve for x
    x = 7,880,461,670,656/1,324,164
  6. Step 6: Final answer
    x = 5,951,273.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.