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Finding the Third Proportional to 446,403 and 963,372

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Solution

The third proportional to 446,403 and 963,372 is: 2,079,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,403 : 963,372 = 963,372 : x
  2. Step 2: Convert to fraction form
    446,403/963,372 = 963,372/x
  3. Step 3: Cross multiply
    446,403x = 963,372 × 963,372
  4. Step 4: Simplify right side
    446,403x = 928,085,610,384
  5. Step 5: Solve for x
    x = 928,085,610,384/446,403
  6. Step 6: Final answer
    x = 2,079,030.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.