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Finding the Third Proportional to 664,246 and 1,025,832

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Solution

The third proportional to 664,246 and 1,025,832 is: 1,584,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,246 : 1,025,832 = 1,025,832 : x
  2. Step 2: Convert to fraction form
    664,246/1,025,832 = 1,025,832/x
  3. Step 3: Cross multiply
    664,246x = 1,025,832 × 1,025,832
  4. Step 4: Simplify right side
    664,246x = 1,052,331,292,224
  5. Step 5: Solve for x
    x = 1,052,331,292,224/664,246
  6. Step 6: Final answer
    x = 1,584,249.35

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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.