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Finding the Third Proportional to 863,948 and 1,919,649

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Solution

The third proportional to 863,948 and 1,919,649 is: 4,265,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,948 : 1,919,649 = 1,919,649 : x
  2. Step 2: Convert to fraction form
    863,948/1,919,649 = 1,919,649/x
  3. Step 3: Cross multiply
    863,948x = 1,919,649 × 1,919,649
  4. Step 4: Simplify right side
    863,948x = 3,685,052,283,201
  5. Step 5: Solve for x
    x = 3,685,052,283,201/863,948
  6. Step 6: Final answer
    x = 4,265,363.52

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Why These Related Problems?

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