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Finding the Third Proportional to 863,448 and 1,853,760

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Solution

The third proportional to 863,448 and 1,853,760 is: 3,979,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,448 : 1,853,760 = 1,853,760 : x
  2. Step 2: Convert to fraction form
    863,448/1,853,760 = 1,853,760/x
  3. Step 3: Cross multiply
    863,448x = 1,853,760 × 1,853,760
  4. Step 4: Simplify right side
    863,448x = 3,436,426,137,600
  5. Step 5: Solve for x
    x = 3,436,426,137,600/863,448
  6. Step 6: Final answer
    x = 3,979,887.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.