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Finding the Third Proportional to 864,033 and 1,919,847

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Solution

The third proportional to 864,033 and 1,919,847 is: 4,265,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,033 : 1,919,847 = 1,919,847 : x
  2. Step 2: Convert to fraction form
    864,033/1,919,847 = 1,919,847/x
  3. Step 3: Cross multiply
    864,033x = 1,919,847 × 1,919,847
  4. Step 4: Simplify right side
    864,033x = 3,685,812,503,409
  5. Step 5: Solve for x
    x = 3,685,812,503,409/864,033
  6. Step 6: Final answer
    x = 4,265,823.76

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.