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Finding the Third Proportional to 531,633 and 1,166,610.75

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Solution

The third proportional to 531,633 and 1,166,610.75 is: 2,560,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,633 : 1,166,610.75 = 1,166,610.75 : x
  2. Step 2: Convert to fraction form
    531,633/1,166,610.75 = 1,166,610.75/x
  3. Step 3: Cross multiply
    531,633x = 1,166,610.75 × 1,166,610.75
  4. Step 4: Simplify right side
    531,633x = 1,360,980,642,015.56
  5. Step 5: Solve for x
    x = 1,360,980,642,015.56/531,633
  6. Step 6: Final answer
    x = 2,560,000.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.