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Finding the Third Proportional to 567,569 and 1,183,212

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Solution

The third proportional to 567,569 and 1,183,212 is: 2,466,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,569 : 1,183,212 = 1,183,212 : x
  2. Step 2: Convert to fraction form
    567,569/1,183,212 = 1,183,212/x
  3. Step 3: Cross multiply
    567,569x = 1,183,212 × 1,183,212
  4. Step 4: Simplify right side
    567,569x = 1,399,990,636,944
  5. Step 5: Solve for x
    x = 1,399,990,636,944/567,569
  6. Step 6: Final answer
    x = 2,466,643.94

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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.