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Finding the Third Proportional to 519,840 and 1,117,035

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Solution

The third proportional to 519,840 and 1,117,035 is: 2,400,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,840 : 1,117,035 = 1,117,035 : x
  2. Step 2: Convert to fraction form
    519,840/1,117,035 = 1,117,035/x
  3. Step 3: Cross multiply
    519,840x = 1,117,035 × 1,117,035
  4. Step 4: Simplify right side
    519,840x = 1,247,767,191,225
  5. Step 5: Solve for x
    x = 1,247,767,191,225/519,840
  6. Step 6: Final answer
    x = 2,400,290.84

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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.