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Finding the Third Proportional to 959,215.50 and 1,478,196

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Solution

The third proportional to 959,215.50 and 1,478,196 is: 2,277,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,215.50 : 1,478,196 = 1,478,196 : x
  2. Step 2: Convert to fraction form
    959,215.50/1,478,196 = 1,478,196/x
  3. Step 3: Cross multiply
    959,215.50x = 1,478,196 × 1,478,196
  4. Step 4: Simplify right side
    959,215.50x = 2,185,063,414,416
  5. Step 5: Solve for x
    x = 2,185,063,414,416/959,215.50
  6. Step 6: Final answer
    x = 2,277,969.25

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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.