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Finding the Third Proportional to 737,489 and 1,604,763

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Solution

The third proportional to 737,489 and 1,604,763 is: 3,491,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,489 : 1,604,763 = 1,604,763 : x
  2. Step 2: Convert to fraction form
    737,489/1,604,763 = 1,604,763/x
  3. Step 3: Cross multiply
    737,489x = 1,604,763 × 1,604,763
  4. Step 4: Simplify right side
    737,489x = 2,575,264,286,169
  5. Step 5: Solve for x
    x = 2,575,264,286,169/737,489
  6. Step 6: Final answer
    x = 3,491,935.86

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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.