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Finding the Third Proportional to 409,959 and 882,195.75

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Solution

The third proportional to 409,959 and 882,195.75 is: 1,898,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,959 : 882,195.75 = 882,195.75 : x
  2. Step 2: Convert to fraction form
    409,959/882,195.75 = 882,195.75/x
  3. Step 3: Cross multiply
    409,959x = 882,195.75 × 882,195.75
  4. Step 4: Simplify right side
    409,959x = 778,269,341,318.06
  5. Step 5: Solve for x
    x = 778,269,341,318.06/409,959
  6. Step 6: Final answer
    x = 1,898,407.75

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