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Finding the Third Proportional to 842,225 and 1,295,868

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Solution

The third proportional to 842,225 and 1,295,868 is: 1,993,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,225 : 1,295,868 = 1,295,868 : x
  2. Step 2: Convert to fraction form
    842,225/1,295,868 = 1,295,868/x
  3. Step 3: Cross multiply
    842,225x = 1,295,868 × 1,295,868
  4. Step 4: Simplify right side
    842,225x = 1,679,273,873,424
  5. Step 5: Solve for x
    x = 1,679,273,873,424/842,225
  6. Step 6: Final answer
    x = 1,993,854.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.