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Finding the Third Proportional to 475,434 and 1,036,164

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Solution

The third proportional to 475,434 and 1,036,164 is: 2,258,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,434 : 1,036,164 = 1,036,164 : x
  2. Step 2: Convert to fraction form
    475,434/1,036,164 = 1,036,164/x
  3. Step 3: Cross multiply
    475,434x = 1,036,164 × 1,036,164
  4. Step 4: Simplify right side
    475,434x = 1,073,635,834,896
  5. Step 5: Solve for x
    x = 1,073,635,834,896/475,434
  6. Step 6: Final answer
    x = 2,258,222.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.