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Finding the Third Proportional to 499,248 and 1,077,216

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Solution

The third proportional to 499,248 and 1,077,216 is: 2,324,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,248 : 1,077,216 = 1,077,216 : x
  2. Step 2: Convert to fraction form
    499,248/1,077,216 = 1,077,216/x
  3. Step 3: Cross multiply
    499,248x = 1,077,216 × 1,077,216
  4. Step 4: Simplify right side
    499,248x = 1,160,394,310,656
  5. Step 5: Solve for x
    x = 1,160,394,310,656/499,248
  6. Step 6: Final answer
    x = 2,324,284.34

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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.