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Finding the Third Proportional to 654,966 and 1,011,393

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Solution

The third proportional to 654,966 and 1,011,393 is: 1,561,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,966 : 1,011,393 = 1,011,393 : x
  2. Step 2: Convert to fraction form
    654,966/1,011,393 = 1,011,393/x
  3. Step 3: Cross multiply
    654,966x = 1,011,393 × 1,011,393
  4. Step 4: Simplify right side
    654,966x = 1,022,915,800,449
  5. Step 5: Solve for x
    x = 1,022,915,800,449/654,966
  6. Step 6: Final answer
    x = 1,561,784.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.