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Finding the Third Proportional to 567,576 and 1,223,736

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Solution

The third proportional to 567,576 and 1,223,736 is: 2,638,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,576 : 1,223,736 = 1,223,736 : x
  2. Step 2: Convert to fraction form
    567,576/1,223,736 = 1,223,736/x
  3. Step 3: Cross multiply
    567,576x = 1,223,736 × 1,223,736
  4. Step 4: Simplify right side
    567,576x = 1,497,529,797,696
  5. Step 5: Solve for x
    x = 1,497,529,797,696/567,576
  6. Step 6: Final answer
    x = 2,638,465.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.