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Finding the Third Proportional to 732,328 and 1,543,394

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Solution

The third proportional to 732,328 and 1,543,394 is: 3,252,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,328 : 1,543,394 = 1,543,394 : x
  2. Step 2: Convert to fraction form
    732,328/1,543,394 = 1,543,394/x
  3. Step 3: Cross multiply
    732,328x = 1,543,394 × 1,543,394
  4. Step 4: Simplify right side
    732,328x = 2,382,065,039,236
  5. Step 5: Solve for x
    x = 2,382,065,039,236/732,328
  6. Step 6: Final answer
    x = 3,252,729.70

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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.