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Finding the Third Proportional to 945,196 and 1,452,832

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Solution

The third proportional to 945,196 and 1,452,832 is: 2,233,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,196 : 1,452,832 = 1,452,832 : x
  2. Step 2: Convert to fraction form
    945,196/1,452,832 = 1,452,832/x
  3. Step 3: Cross multiply
    945,196x = 1,452,832 × 1,452,832
  4. Step 4: Simplify right side
    945,196x = 2,110,720,820,224
  5. Step 5: Solve for x
    x = 2,110,720,820,224/945,196
  6. Step 6: Final answer
    x = 2,233,103.84

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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.