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Finding the Third Proportional to 438,382 and 957,926

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Solution

The third proportional to 438,382 and 957,926 is: 2,093,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,382 : 957,926 = 957,926 : x
  2. Step 2: Convert to fraction form
    438,382/957,926 = 957,926/x
  3. Step 3: Cross multiply
    438,382x = 957,926 × 957,926
  4. Step 4: Simplify right side
    438,382x = 917,622,221,476
  5. Step 5: Solve for x
    x = 917,622,221,476/438,382
  6. Step 6: Final answer
    x = 2,093,202.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.