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Finding the Third Proportional to 445,024 and 926,864

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Solution

The third proportional to 445,024 and 926,864 is: 1,930,405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,024 : 926,864 = 926,864 : x
  2. Step 2: Convert to fraction form
    445,024/926,864 = 926,864/x
  3. Step 3: Cross multiply
    445,024x = 926,864 × 926,864
  4. Step 4: Simplify right side
    445,024x = 859,076,874,496
  5. Step 5: Solve for x
    x = 859,076,874,496/445,024
  6. Step 6: Final answer
    x = 1,930,405.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.