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Finding the Third Proportional to 445,034 and 926,884

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Solution

The third proportional to 445,034 and 926,884 is: 1,930,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,034 : 926,884 = 926,884 : x
  2. Step 2: Convert to fraction form
    445,034/926,884 = 926,884/x
  3. Step 3: Cross multiply
    445,034x = 926,884 × 926,884
  4. Step 4: Simplify right side
    445,034x = 859,113,949,456
  5. Step 5: Solve for x
    x = 859,113,949,456/445,034
  6. Step 6: Final answer
    x = 1,930,445.65

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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.