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Finding the Third Proportional to 962,524 and 1,345,749

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Solution

The third proportional to 962,524 and 1,345,749 is: 1,881,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,524 : 1,345,749 = 1,345,749 : x
  2. Step 2: Convert to fraction form
    962,524/1,345,749 = 1,345,749/x
  3. Step 3: Cross multiply
    962,524x = 1,345,749 × 1,345,749
  4. Step 4: Simplify right side
    962,524x = 1,811,040,371,001
  5. Step 5: Solve for x
    x = 1,811,040,371,001/962,524
  6. Step 6: Final answer
    x = 1,881,553.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.