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Finding the Third Proportional to 476,864 and 1,035,744

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Solution

The third proportional to 476,864 and 1,035,744 is: 2,249,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,864 : 1,035,744 = 1,035,744 : x
  2. Step 2: Convert to fraction form
    476,864/1,035,744 = 1,035,744/x
  3. Step 3: Cross multiply
    476,864x = 1,035,744 × 1,035,744
  4. Step 4: Simplify right side
    476,864x = 1,072,765,633,536
  5. Step 5: Solve for x
    x = 1,072,765,633,536/476,864
  6. Step 6: Final answer
    x = 2,249,625.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.