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Finding the Third Proportional to 475,456 and 1,036,208

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Solution

The third proportional to 475,456 and 1,036,208 is: 2,258,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,456 : 1,036,208 = 1,036,208 : x
  2. Step 2: Convert to fraction form
    475,456/1,036,208 = 1,036,208/x
  3. Step 3: Cross multiply
    475,456x = 1,036,208 × 1,036,208
  4. Step 4: Simplify right side
    475,456x = 1,073,727,019,264
  5. Step 5: Solve for x
    x = 1,073,727,019,264/475,456
  6. Step 6: Final answer
    x = 2,258,309.96

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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.