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Finding the Third Proportional to 653,104 and 1,008,782

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Solution

The third proportional to 653,104 and 1,008,782 is: 1,558,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,104 : 1,008,782 = 1,008,782 : x
  2. Step 2: Convert to fraction form
    653,104/1,008,782 = 1,008,782/x
  3. Step 3: Cross multiply
    653,104x = 1,008,782 × 1,008,782
  4. Step 4: Simplify right side
    653,104x = 1,017,641,123,524
  5. Step 5: Solve for x
    x = 1,017,641,123,524/653,104
  6. Step 6: Final answer
    x = 1,558,160.91

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Why These Related Problems?

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