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Finding the Third Proportional to 439,920 and 963,926

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Solution

The third proportional to 439,920 and 963,926 is: 2,112,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,920 : 963,926 = 963,926 : x
  2. Step 2: Convert to fraction form
    439,920/963,926 = 963,926/x
  3. Step 3: Cross multiply
    439,920x = 963,926 × 963,926
  4. Step 4: Simplify right side
    439,920x = 929,153,333,476
  5. Step 5: Solve for x
    x = 929,153,333,476/439,920
  6. Step 6: Final answer
    x = 2,112,096.14

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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.