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Finding the Third Proportional to 409,232 and 894,368

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Solution

The third proportional to 409,232 and 894,368 is: 1,954,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,232 : 894,368 = 894,368 : x
  2. Step 2: Convert to fraction form
    409,232/894,368 = 894,368/x
  3. Step 3: Cross multiply
    409,232x = 894,368 × 894,368
  4. Step 4: Simplify right side
    409,232x = 799,894,119,424
  5. Step 5: Solve for x
    x = 799,894,119,424/409,232
  6. Step 6: Final answer
    x = 1,954,622.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.