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Finding the Third Proportional to 492,729 and 1,062,366

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Solution

The third proportional to 492,729 and 1,062,366 is: 2,290,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,729 : 1,062,366 = 1,062,366 : x
  2. Step 2: Convert to fraction form
    492,729/1,062,366 = 1,062,366/x
  3. Step 3: Cross multiply
    492,729x = 1,062,366 × 1,062,366
  4. Step 4: Simplify right side
    492,729x = 1,128,621,517,956
  5. Step 5: Solve for x
    x = 1,128,621,517,956/492,729
  6. Step 6: Final answer
    x = 2,290,552.25

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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.