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Finding the Third Proportional to 439,868.92 and 963,813.46

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Solution

The third proportional to 439,868.92 and 963,813.46 is: 2,111,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,868.92 : 963,813.46 = 963,813.46 : x
  2. Step 2: Convert to fraction form
    439,868.92/963,813.46 = 963,813.46/x
  3. Step 3: Cross multiply
    439,868.92x = 963,813.46 × 963,813.46
  4. Step 4: Simplify right side
    439,868.92x = 928,936,391,249.21
  5. Step 5: Solve for x
    x = 928,936,391,249.21/439,868.92
  6. Step 6: Final answer
    x = 2,111,848.22

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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.