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Finding the Third Proportional to 536,466 and 1,116,996

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Solution

The third proportional to 536,466 and 1,116,996 is: 2,325,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,466 : 1,116,996 = 1,116,996 : x
  2. Step 2: Convert to fraction form
    536,466/1,116,996 = 1,116,996/x
  3. Step 3: Cross multiply
    536,466x = 1,116,996 × 1,116,996
  4. Step 4: Simplify right side
    536,466x = 1,247,680,064,016
  5. Step 5: Solve for x
    x = 1,247,680,064,016/536,466
  6. Step 6: Final answer
    x = 2,325,739.31

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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.