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Finding the Third Proportional to 565,562 and 1,230,996

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Solution

The third proportional to 565,562 and 1,230,996 is: 2,679,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,562 : 1,230,996 = 1,230,996 : x
  2. Step 2: Convert to fraction form
    565,562/1,230,996 = 1,230,996/x
  3. Step 3: Cross multiply
    565,562x = 1,230,996 × 1,230,996
  4. Step 4: Simplify right side
    565,562x = 1,515,351,152,016
  5. Step 5: Solve for x
    x = 1,515,351,152,016/565,562
  6. Step 6: Final answer
    x = 2,679,372.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.