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Finding the Third Proportional to 570,966 and 1,240,321

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Solution

The third proportional to 570,966 and 1,240,321 is: 2,694,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,966 : 1,240,321 = 1,240,321 : x
  2. Step 2: Convert to fraction form
    570,966/1,240,321 = 1,240,321/x
  3. Step 3: Cross multiply
    570,966x = 1,240,321 × 1,240,321
  4. Step 4: Simplify right side
    570,966x = 1,538,396,183,041
  5. Step 5: Solve for x
    x = 1,538,396,183,041/570,966
  6. Step 6: Final answer
    x = 2,694,374.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.