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Finding the Third Proportional to 439,732 and 963,624

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Solution

The third proportional to 439,732 and 963,624 is: 2,111,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,732 : 963,624 = 963,624 : x
  2. Step 2: Convert to fraction form
    439,732/963,624 = 963,624/x
  3. Step 3: Cross multiply
    439,732x = 963,624 × 963,624
  4. Step 4: Simplify right side
    439,732x = 928,571,213,376
  5. Step 5: Solve for x
    x = 928,571,213,376/439,732
  6. Step 6: Final answer
    x = 2,111,675.32

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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.