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Finding the Third Proportional to 404,689 and 874,222

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Solution

The third proportional to 404,689 and 874,222 is: 1,888,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,689 : 874,222 = 874,222 : x
  2. Step 2: Convert to fraction form
    404,689/874,222 = 874,222/x
  3. Step 3: Cross multiply
    404,689x = 874,222 × 874,222
  4. Step 4: Simplify right side
    404,689x = 764,264,105,284
  5. Step 5: Solve for x
    x = 764,264,105,284/404,689
  6. Step 6: Final answer
    x = 1,888,522.06

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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.