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Finding the Third Proportional to 492,025 and 1,065,658

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Solution

The third proportional to 492,025 and 1,065,658 is: 2,308,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,025 : 1,065,658 = 1,065,658 : x
  2. Step 2: Convert to fraction form
    492,025/1,065,658 = 1,065,658/x
  3. Step 3: Cross multiply
    492,025x = 1,065,658 × 1,065,658
  4. Step 4: Simplify right side
    492,025x = 1,135,626,972,964
  5. Step 5: Solve for x
    x = 1,135,626,972,964/492,025
  6. Step 6: Final answer
    x = 2,308,067.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.