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Finding the Third Proportional to 439,932 and 963,948

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Solution

The third proportional to 439,932 and 963,948 is: 2,112,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,932 : 963,948 = 963,948 : x
  2. Step 2: Convert to fraction form
    439,932/963,948 = 963,948/x
  3. Step 3: Cross multiply
    439,932x = 963,948 × 963,948
  4. Step 4: Simplify right side
    439,932x = 929,195,746,704
  5. Step 5: Solve for x
    x = 929,195,746,704/439,932
  6. Step 6: Final answer
    x = 2,112,134.94

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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.