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Finding the Third Proportional to 517,620 and 1,113,912

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Solution

The third proportional to 517,620 and 1,113,912 is: 2,397,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,620 : 1,113,912 = 1,113,912 : x
  2. Step 2: Convert to fraction form
    517,620/1,113,912 = 1,113,912/x
  3. Step 3: Cross multiply
    517,620x = 1,113,912 × 1,113,912
  4. Step 4: Simplify right side
    517,620x = 1,240,799,943,744
  5. Step 5: Solve for x
    x = 1,240,799,943,744/517,620
  6. Step 6: Final answer
    x = 2,397,125.20

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Why These Related Problems?

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