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Finding the Third Proportional to 891,171 and 1,341,012

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Solution

The third proportional to 891,171 and 1,341,012 is: 2,017,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,171 : 1,341,012 = 1,341,012 : x
  2. Step 2: Convert to fraction form
    891,171/1,341,012 = 1,341,012/x
  3. Step 3: Cross multiply
    891,171x = 1,341,012 × 1,341,012
  4. Step 4: Simplify right side
    891,171x = 1,798,313,184,144
  5. Step 5: Solve for x
    x = 1,798,313,184,144/891,171
  6. Step 6: Final answer
    x = 2,017,921.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.