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Finding the Third Proportional to 409,740 and 894,196

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Solution

The third proportional to 409,740 and 894,196 is: 1,951,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,740 : 894,196 = 894,196 : x
  2. Step 2: Convert to fraction form
    409,740/894,196 = 894,196/x
  3. Step 3: Cross multiply
    409,740x = 894,196 × 894,196
  4. Step 4: Simplify right side
    409,740x = 799,586,486,416
  5. Step 5: Solve for x
    x = 799,586,486,416/409,740
  6. Step 6: Final answer
    x = 1,951,448.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.