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Finding the Third Proportional to 466,892 and 910,456

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Solution

The third proportional to 466,892 and 910,456 is: 1,775,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,892 : 910,456 = 910,456 : x
  2. Step 2: Convert to fraction form
    466,892/910,456 = 910,456/x
  3. Step 3: Cross multiply
    466,892x = 910,456 × 910,456
  4. Step 4: Simplify right side
    466,892x = 828,930,127,936
  5. Step 5: Solve for x
    x = 828,930,127,936/466,892
  6. Step 6: Final answer
    x = 1,775,421.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.