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Finding the Third Proportional to 854,072.25 and 1,310,052.38

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Solution

The third proportional to 854,072.25 and 1,310,052.38 is: 2,009,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,072.25 : 1,310,052.38 = 1,310,052.38 : x
  2. Step 2: Convert to fraction form
    854,072.25/1,310,052.38 = 1,310,052.38/x
  3. Step 3: Cross multiply
    854,072.25x = 1,310,052.38 × 1,310,052.38
  4. Step 4: Simplify right side
    854,072.25x = 1,716,237,225,243.14
  5. Step 5: Solve for x
    x = 1,716,237,225,243.14/854,072.25
  6. Step 6: Final answer
    x = 2,009,475.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.