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Finding the Third Proportional to 536,502 and 1,117,080

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Solution

The third proportional to 536,502 and 1,117,080 is: 2,325,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,502 : 1,117,080 = 1,117,080 : x
  2. Step 2: Convert to fraction form
    536,502/1,117,080 = 1,117,080/x
  3. Step 3: Cross multiply
    536,502x = 1,117,080 × 1,117,080
  4. Step 4: Simplify right side
    536,502x = 1,247,867,726,400
  5. Step 5: Solve for x
    x = 1,247,867,726,400/536,502
  6. Step 6: Final answer
    x = 2,325,933.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.