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Finding the Third Proportional to 416,179 and 897,914

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Solution

The third proportional to 416,179 and 897,914 is: 1,937,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,179 : 897,914 = 897,914 : x
  2. Step 2: Convert to fraction form
    416,179/897,914 = 897,914/x
  3. Step 3: Cross multiply
    416,179x = 897,914 × 897,914
  4. Step 4: Simplify right side
    416,179x = 806,249,551,396
  5. Step 5: Solve for x
    x = 806,249,551,396/416,179
  6. Step 6: Final answer
    x = 1,937,266.30

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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.