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Finding the Third Proportional to 962,525 and 1,345,750

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Solution

The third proportional to 962,525 and 1,345,750 is: 1,881,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,525 : 1,345,750 = 1,345,750 : x
  2. Step 2: Convert to fraction form
    962,525/1,345,750 = 1,345,750/x
  3. Step 3: Cross multiply
    962,525x = 1,345,750 × 1,345,750
  4. Step 4: Simplify right side
    962,525x = 1,811,043,062,500
  5. Step 5: Solve for x
    x = 1,811,043,062,500/962,525
  6. Step 6: Final answer
    x = 1,881,554.31

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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.