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Finding the Third Proportional to 438,596 and 960,954

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Solution

The third proportional to 438,596 and 960,954 is: 2,105,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,596 : 960,954 = 960,954 : x
  2. Step 2: Convert to fraction form
    438,596/960,954 = 960,954/x
  3. Step 3: Cross multiply
    438,596x = 960,954 × 960,954
  4. Step 4: Simplify right side
    438,596x = 923,432,590,116
  5. Step 5: Solve for x
    x = 923,432,590,116/438,596
  6. Step 6: Final answer
    x = 2,105,428.66

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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.