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Finding the Third Proportional to 401,154 and 874,254

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Solution

The third proportional to 401,154 and 874,254 is: 1,905,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,154 : 874,254 = 874,254 : x
  2. Step 2: Convert to fraction form
    401,154/874,254 = 874,254/x
  3. Step 3: Cross multiply
    401,154x = 874,254 × 874,254
  4. Step 4: Simplify right side
    401,154x = 764,320,056,516
  5. Step 5: Solve for x
    x = 764,320,056,516/401,154
  6. Step 6: Final answer
    x = 1,905,303.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.