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Finding the Third Proportional to 438,916 and 1,025,578

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Solution

The third proportional to 438,916 and 1,025,578 is: 2,396,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,916 : 1,025,578 = 1,025,578 : x
  2. Step 2: Convert to fraction form
    438,916/1,025,578 = 1,025,578/x
  3. Step 3: Cross multiply
    438,916x = 1,025,578 × 1,025,578
  4. Step 4: Simplify right side
    438,916x = 1,051,810,234,084
  5. Step 5: Solve for x
    x = 1,051,810,234,084/438,916
  6. Step 6: Final answer
    x = 2,396,381.62

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.