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Finding the Third Proportional to 404,698 and 874,237

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Solution

The third proportional to 404,698 and 874,237 is: 1,888,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,698 : 874,237 = 874,237 : x
  2. Step 2: Convert to fraction form
    404,698/874,237 = 874,237/x
  3. Step 3: Cross multiply
    404,698x = 874,237 × 874,237
  4. Step 4: Simplify right side
    404,698x = 764,290,332,169
  5. Step 5: Solve for x
    x = 764,290,332,169/404,698
  6. Step 6: Final answer
    x = 1,888,544.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.