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Finding the Third Proportional to 962,172 and 1,523,463

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Solution

The third proportional to 962,172 and 1,523,463 is: 2,412,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,172 : 1,523,463 = 1,523,463 : x
  2. Step 2: Convert to fraction form
    962,172/1,523,463 = 1,523,463/x
  3. Step 3: Cross multiply
    962,172x = 1,523,463 × 1,523,463
  4. Step 4: Simplify right side
    962,172x = 2,320,939,512,369
  5. Step 5: Solve for x
    x = 2,320,939,512,369/962,172
  6. Step 6: Final answer
    x = 2,412,187.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.