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Finding the Third Proportional to 566,797 and 1,197,575

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Solution

The third proportional to 566,797 and 1,197,575 is: 2,530,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,797 : 1,197,575 = 1,197,575 : x
  2. Step 2: Convert to fraction form
    566,797/1,197,575 = 1,197,575/x
  3. Step 3: Cross multiply
    566,797x = 1,197,575 × 1,197,575
  4. Step 4: Simplify right side
    566,797x = 1,434,185,880,625
  5. Step 5: Solve for x
    x = 1,434,185,880,625/566,797
  6. Step 6: Final answer
    x = 2,530,334.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.