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Finding the Third Proportional to 667,072 and 1,458,716

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Solution

The third proportional to 667,072 and 1,458,716 is: 3,189,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,072 : 1,458,716 = 1,458,716 : x
  2. Step 2: Convert to fraction form
    667,072/1,458,716 = 1,458,716/x
  3. Step 3: Cross multiply
    667,072x = 1,458,716 × 1,458,716
  4. Step 4: Simplify right side
    667,072x = 2,127,852,368,656
  5. Step 5: Solve for x
    x = 2,127,852,368,656/667,072
  6. Step 6: Final answer
    x = 3,189,839.13

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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.