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Finding the Third Proportional to 592,659 and 1,398,447

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Solution

The third proportional to 592,659 and 1,398,447 is: 3,299,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,659 : 1,398,447 = 1,398,447 : x
  2. Step 2: Convert to fraction form
    592,659/1,398,447 = 1,398,447/x
  3. Step 3: Cross multiply
    592,659x = 1,398,447 × 1,398,447
  4. Step 4: Simplify right side
    592,659x = 1,955,654,011,809
  5. Step 5: Solve for x
    x = 1,955,654,011,809/592,659
  6. Step 6: Final answer
    x = 3,299,796.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.