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Finding the Third Proportional to 620,586 and 1,281,024

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Solution

The third proportional to 620,586 and 1,281,024 is: 2,644,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,586 : 1,281,024 = 1,281,024 : x
  2. Step 2: Convert to fraction form
    620,586/1,281,024 = 1,281,024/x
  3. Step 3: Cross multiply
    620,586x = 1,281,024 × 1,281,024
  4. Step 4: Simplify right side
    620,586x = 1,641,022,488,576
  5. Step 5: Solve for x
    x = 1,641,022,488,576/620,586
  6. Step 6: Final answer
    x = 2,644,311.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.