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Finding the Third Proportional to 439,488 and 945,216

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Solution

The third proportional to 439,488 and 945,216 is: 2,032,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,488 : 945,216 = 945,216 : x
  2. Step 2: Convert to fraction form
    439,488/945,216 = 945,216/x
  3. Step 3: Cross multiply
    439,488x = 945,216 × 945,216
  4. Step 4: Simplify right side
    439,488x = 893,433,286,656
  5. Step 5: Solve for x
    x = 893,433,286,656/439,488
  6. Step 6: Final answer
    x = 2,032,895.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.