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Finding the Third Proportional to 531,576 and 1,136,916

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Solution

The third proportional to 531,576 and 1,136,916 is: 2,431,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,576 : 1,136,916 = 1,136,916 : x
  2. Step 2: Convert to fraction form
    531,576/1,136,916 = 1,136,916/x
  3. Step 3: Cross multiply
    531,576x = 1,136,916 × 1,136,916
  4. Step 4: Simplify right side
    531,576x = 1,292,577,991,056
  5. Step 5: Solve for x
    x = 1,292,577,991,056/531,576
  6. Step 6: Final answer
    x = 2,431,595.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.