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Finding the Third Proportional to 531,530 and 1,127,860

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Solution

The third proportional to 531,530 and 1,127,860 is: 2,393,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,530 : 1,127,860 = 1,127,860 : x
  2. Step 2: Convert to fraction form
    531,530/1,127,860 = 1,127,860/x
  3. Step 3: Cross multiply
    531,530x = 1,127,860 × 1,127,860
  4. Step 4: Simplify right side
    531,530x = 1,272,068,179,600
  5. Step 5: Solve for x
    x = 1,272,068,179,600/531,530
  6. Step 6: Final answer
    x = 2,393,219.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.