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Finding the Third Proportional to 531,577 and 1,136,918

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Solution

The third proportional to 531,577 and 1,136,918 is: 2,431,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,577 : 1,136,918 = 1,136,918 : x
  2. Step 2: Convert to fraction form
    531,577/1,136,918 = 1,136,918/x
  3. Step 3: Cross multiply
    531,577x = 1,136,918 × 1,136,918
  4. Step 4: Simplify right side
    531,577x = 1,292,582,538,724
  5. Step 5: Solve for x
    x = 1,292,582,538,724/531,577
  6. Step 6: Final answer
    x = 2,431,599.82

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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.