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Finding the Third Proportional to 577,395 and 1,259,604

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Solution

The third proportional to 577,395 and 1,259,604 is: 2,747,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,395 : 1,259,604 = 1,259,604 : x
  2. Step 2: Convert to fraction form
    577,395/1,259,604 = 1,259,604/x
  3. Step 3: Cross multiply
    577,395x = 1,259,604 × 1,259,604
  4. Step 4: Simplify right side
    577,395x = 1,586,602,236,816
  5. Step 5: Solve for x
    x = 1,586,602,236,816/577,395
  6. Step 6: Final answer
    x = 2,747,862.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.