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Finding the Third Proportional to 412,854 and 894,410

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Solution

The third proportional to 412,854 and 894,410 is: 1,937,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,854 : 894,410 = 894,410 : x
  2. Step 2: Convert to fraction form
    412,854/894,410 = 894,410/x
  3. Step 3: Cross multiply
    412,854x = 894,410 × 894,410
  4. Step 4: Simplify right side
    412,854x = 799,969,248,100
  5. Step 5: Solve for x
    x = 799,969,248,100/412,854
  6. Step 6: Final answer
    x = 1,937,656.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.