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Finding the Third Proportional to 464,550 and 1,017,676

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Solution

The third proportional to 464,550 and 1,017,676 is: 2,229,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,550 : 1,017,676 = 1,017,676 : x
  2. Step 2: Convert to fraction form
    464,550/1,017,676 = 1,017,676/x
  3. Step 3: Cross multiply
    464,550x = 1,017,676 × 1,017,676
  4. Step 4: Simplify right side
    464,550x = 1,035,664,440,976
  5. Step 5: Solve for x
    x = 1,035,664,440,976/464,550
  6. Step 6: Final answer
    x = 2,229,392.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.