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Finding the Third Proportional to 737,482 and 1,604,749

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Solution

The third proportional to 737,482 and 1,604,749 is: 3,491,908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,482 : 1,604,749 = 1,604,749 : x
  2. Step 2: Convert to fraction form
    737,482/1,604,749 = 1,604,749/x
  3. Step 3: Cross multiply
    737,482x = 1,604,749 × 1,604,749
  4. Step 4: Simplify right side
    737,482x = 2,575,219,353,001
  5. Step 5: Solve for x
    x = 2,575,219,353,001/737,482
  6. Step 6: Final answer
    x = 3,491,908.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.