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Finding the Third Proportional to 446,742 and 963,464

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Solution

The third proportional to 446,742 and 963,464 is: 2,077,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,742 : 963,464 = 963,464 : x
  2. Step 2: Convert to fraction form
    446,742/963,464 = 963,464/x
  3. Step 3: Cross multiply
    446,742x = 963,464 × 963,464
  4. Step 4: Simplify right side
    446,742x = 928,262,879,296
  5. Step 5: Solve for x
    x = 928,262,879,296/446,742
  6. Step 6: Final answer
    x = 2,077,850.03

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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.