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Finding the Third Proportional to 2,701,076 and 4,120,214

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Solution

The third proportional to 2,701,076 and 4,120,214 is: 6,284,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,076 : 4,120,214 = 4,120,214 : x
  2. Step 2: Convert to fraction form
    2,701,076/4,120,214 = 4,120,214/x
  3. Step 3: Cross multiply
    2,701,076x = 4,120,214 × 4,120,214
  4. Step 4: Simplify right side
    2,701,076x = 16,976,163,405,796
  5. Step 5: Solve for x
    x = 16,976,163,405,796/2,701,076
  6. Step 6: Final answer
    x = 6,284,963.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.