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Finding the Third Proportional to 513,954 and 1,106,658

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Solution

The third proportional to 513,954 and 1,106,658 is: 2,382,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,954 : 1,106,658 = 1,106,658 : x
  2. Step 2: Convert to fraction form
    513,954/1,106,658 = 1,106,658/x
  3. Step 3: Cross multiply
    513,954x = 1,106,658 × 1,106,658
  4. Step 4: Simplify right side
    513,954x = 1,224,691,928,964
  5. Step 5: Solve for x
    x = 1,224,691,928,964/513,954
  6. Step 6: Final answer
    x = 2,382,882.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.