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Finding the Third Proportional to 1,353,969 and 2,919,532

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Solution

The third proportional to 1,353,969 and 2,919,532 is: 6,295,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,969 : 2,919,532 = 2,919,532 : x
  2. Step 2: Convert to fraction form
    1,353,969/2,919,532 = 2,919,532/x
  3. Step 3: Cross multiply
    1,353,969x = 2,919,532 × 2,919,532
  4. Step 4: Simplify right side
    1,353,969x = 8,523,667,099,024
  5. Step 5: Solve for x
    x = 8,523,667,099,024/1,353,969
  6. Step 6: Final answer
    x = 6,295,319.24

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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.