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Finding the Third Proportional to 531,150 and 1,244,283

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Solution

The third proportional to 531,150 and 1,244,283 is: 2,914,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,150 : 1,244,283 = 1,244,283 : x
  2. Step 2: Convert to fraction form
    531,150/1,244,283 = 1,244,283/x
  3. Step 3: Cross multiply
    531,150x = 1,244,283 × 1,244,283
  4. Step 4: Simplify right side
    531,150x = 1,548,240,184,089
  5. Step 5: Solve for x
    x = 1,548,240,184,089/531,150
  6. Step 6: Final answer
    x = 2,914,883.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.