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Finding the Third Proportional to 1,784,945 and 2,719,251

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Solution

The third proportional to 1,784,945 and 2,719,251 is: 4,142,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,945 : 2,719,251 = 2,719,251 : x
  2. Step 2: Convert to fraction form
    1,784,945/2,719,251 = 2,719,251/x
  3. Step 3: Cross multiply
    1,784,945x = 2,719,251 × 2,719,251
  4. Step 4: Simplify right side
    1,784,945x = 7,394,326,001,001
  5. Step 5: Solve for x
    x = 7,394,326,001,001/1,784,945
  6. Step 6: Final answer
    x = 4,142,607.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.