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Finding the Third Proportional to 737,700 and 1,609,416

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Solution

The third proportional to 737,700 and 1,609,416 is: 3,511,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,700 : 1,609,416 = 1,609,416 : x
  2. Step 2: Convert to fraction form
    737,700/1,609,416 = 1,609,416/x
  3. Step 3: Cross multiply
    737,700x = 1,609,416 × 1,609,416
  4. Step 4: Simplify right side
    737,700x = 2,590,219,861,056
  5. Step 5: Solve for x
    x = 2,590,219,861,056/737,700
  6. Step 6: Final answer
    x = 3,511,210.33

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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.