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Finding the Third Proportional to 475,406 and 1,044,112

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Solution

The third proportional to 475,406 and 1,044,112 is: 2,293,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,406 : 1,044,112 = 1,044,112 : x
  2. Step 2: Convert to fraction form
    475,406/1,044,112 = 1,044,112/x
  3. Step 3: Cross multiply
    475,406x = 1,044,112 × 1,044,112
  4. Step 4: Simplify right side
    475,406x = 1,090,169,868,544
  5. Step 5: Solve for x
    x = 1,090,169,868,544/475,406
  6. Step 6: Final answer
    x = 2,293,134.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.