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Finding the Third Proportional to 732,310 and 1,543,351

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Solution

The third proportional to 732,310 and 1,543,351 is: 3,252,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,310 : 1,543,351 = 1,543,351 : x
  2. Step 2: Convert to fraction form
    732,310/1,543,351 = 1,543,351/x
  3. Step 3: Cross multiply
    732,310x = 1,543,351 × 1,543,351
  4. Step 4: Simplify right side
    732,310x = 2,381,932,309,201
  5. Step 5: Solve for x
    x = 2,381,932,309,201/732,310
  6. Step 6: Final answer
    x = 3,252,628.41

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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.