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Finding the Third Proportional to 492,318 and 1,054,620

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Solution

The third proportional to 492,318 and 1,054,620 is: 2,259,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,318 : 1,054,620 = 1,054,620 : x
  2. Step 2: Convert to fraction form
    492,318/1,054,620 = 1,054,620/x
  3. Step 3: Cross multiply
    492,318x = 1,054,620 × 1,054,620
  4. Step 4: Simplify right side
    492,318x = 1,112,223,344,400
  5. Step 5: Solve for x
    x = 1,112,223,344,400/492,318
  6. Step 6: Final answer
    x = 2,259,156.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.