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Finding the Third Proportional to 753,736 and 1,023,525

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Solution

The third proportional to 753,736 and 1,023,525 is: 1,389,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,736 : 1,023,525 = 1,023,525 : x
  2. Step 2: Convert to fraction form
    753,736/1,023,525 = 1,023,525/x
  3. Step 3: Cross multiply
    753,736x = 1,023,525 × 1,023,525
  4. Step 4: Simplify right side
    753,736x = 1,047,603,425,625
  5. Step 5: Solve for x
    x = 1,047,603,425,625/753,736
  6. Step 6: Final answer
    x = 1,389,881.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.