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Finding the Third Proportional to 732,306 and 1,543,344

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Solution

The third proportional to 732,306 and 1,543,344 is: 3,252,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,306 : 1,543,344 = 1,543,344 : x
  2. Step 2: Convert to fraction form
    732,306/1,543,344 = 1,543,344/x
  3. Step 3: Cross multiply
    732,306x = 1,543,344 × 1,543,344
  4. Step 4: Simplify right side
    732,306x = 2,381,910,702,336
  5. Step 5: Solve for x
    x = 2,381,910,702,336/732,306
  6. Step 6: Final answer
    x = 3,252,616.67

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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.