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Finding the Third Proportional to 697,627.69 and 1,494,897.19

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Solution

The third proportional to 697,627.69 and 1,494,897.19 is: 3,203,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,627.69 : 1,494,897.19 = 1,494,897.19 : x
  2. Step 2: Convert to fraction form
    697,627.69/1,494,897.19 = 1,494,897.19/x
  3. Step 3: Cross multiply
    697,627.69x = 1,494,897.19 × 1,494,897.19
  4. Step 4: Simplify right side
    697,627.69x = 2,234,717,601,195.41
  5. Step 5: Solve for x
    x = 2,234,717,601,195.41/697,627.69
  6. Step 6: Final answer
    x = 3,203,309.79

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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.