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Finding the Third Proportional to 699,421.50 and 1,498,068

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Solution

The third proportional to 699,421.50 and 1,498,068 is: 3,208,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,421.50 : 1,498,068 = 1,498,068 : x
  2. Step 2: Convert to fraction form
    699,421.50/1,498,068 = 1,498,068/x
  3. Step 3: Cross multiply
    699,421.50x = 1,498,068 × 1,498,068
  4. Step 4: Simplify right side
    699,421.50x = 2,244,207,732,624
  5. Step 5: Solve for x
    x = 2,244,207,732,624/699,421.50
  6. Step 6: Final answer
    x = 3,208,662.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.