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Finding the Third Proportional to 562,539 and 893,628

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Solution

The third proportional to 562,539 and 893,628 is: 1,419,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,539 : 893,628 = 893,628 : x
  2. Step 2: Convert to fraction form
    562,539/893,628 = 893,628/x
  3. Step 3: Cross multiply
    562,539x = 893,628 × 893,628
  4. Step 4: Simplify right side
    562,539x = 798,571,002,384
  5. Step 5: Solve for x
    x = 798,571,002,384/562,539
  6. Step 6: Final answer
    x = 1,419,583.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.